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Finding the Fourth Proportional to 242.66, 364.16 and 105.80

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Solution

The fourth proportional to 242.66, 364.16 and 105.80 is: 158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.66 : 364.16 = 105.80 : x
  2. Step 2: Convert to fraction form
    242.66/364.16 = 105.80/x
  3. Step 3: Cross multiply
    242.66x = 364.16 × 105.80
  4. Step 4: Simplify right side
    242.66x = 38,528.13
  5. Step 5: Solve for x
    x = 38,528.13/242.66
  6. Step 6: Final answer
    x = 158.77

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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.