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Finding the Fourth Proportional to 243.60, 365.60 and 171.52

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Solution

The fourth proportional to 243.60, 365.60 and 171.52 is: 257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.60 : 365.60 = 171.52 : x
  2. Step 2: Convert to fraction form
    243.60/365.60 = 171.52/x
  3. Step 3: Cross multiply
    243.60x = 365.60 × 171.52
  4. Step 4: Simplify right side
    243.60x = 62,707.71
  5. Step 5: Solve for x
    x = 62,707.71/243.60
  6. Step 6: Final answer
    x = 257.42

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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.