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Finding the Fourth Proportional to 257.50, 385.69 and 160.02

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Solution

The fourth proportional to 257.50, 385.69 and 160.02 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 385.69 = 160.02 : x
  2. Step 2: Convert to fraction form
    257.50/385.69 = 160.02/x
  3. Step 3: Cross multiply
    257.50x = 385.69 × 160.02
  4. Step 4: Simplify right side
    257.50x = 61,718.11
  5. Step 5: Solve for x
    x = 61,718.11/257.50
  6. Step 6: Final answer
    x = 239.68

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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.