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Finding the Fourth Proportional to 302.65, 417.71 and 186.23

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Solution

The fourth proportional to 302.65, 417.71 and 186.23 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 417.71 = 186.23 : x
  2. Step 2: Convert to fraction form
    302.65/417.71 = 186.23/x
  3. Step 3: Cross multiply
    302.65x = 417.71 × 186.23
  4. Step 4: Simplify right side
    302.65x = 77,790.13
  5. Step 5: Solve for x
    x = 77,790.13/302.65
  6. Step 6: Final answer
    x = 257.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.