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Finding the Fourth Proportional to 259.71, 358.42 and 172.32

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Solution

The fourth proportional to 259.71, 358.42 and 172.32 is: 237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 358.42 = 172.32 : x
  2. Step 2: Convert to fraction form
    259.71/358.42 = 172.32/x
  3. Step 3: Cross multiply
    259.71x = 358.42 × 172.32
  4. Step 4: Simplify right side
    259.71x = 61,764.17
  5. Step 5: Solve for x
    x = 61,764.17/259.71
  6. Step 6: Final answer
    x = 237.82

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