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Finding the Fourth Proportional to 409.71, 614.40 and 166.16

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Solution

The fourth proportional to 409.71, 614.40 and 166.16 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.71 : 614.40 = 166.16 : x
  2. Step 2: Convert to fraction form
    409.71/614.40 = 166.16/x
  3. Step 3: Cross multiply
    409.71x = 614.40 × 166.16
  4. Step 4: Simplify right side
    409.71x = 102,085.63
  5. Step 5: Solve for x
    x = 102,085.63/409.71
  6. Step 6: Final answer
    x = 249.17

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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.