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Finding the Fourth Proportional to 790.71, 1,186.16 and 242.80

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Solution

The fourth proportional to 790.71, 1,186.16 and 242.80 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.71 : 1,186.16 = 242.80 : x
  2. Step 2: Convert to fraction form
    790.71/1,186.16 = 242.80/x
  3. Step 3: Cross multiply
    790.71x = 1,186.16 × 242.80
  4. Step 4: Simplify right side
    790.71x = 287,999.65
  5. Step 5: Solve for x
    x = 287,999.65/790.71
  6. Step 6: Final answer
    x = 364.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.