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Finding the Fourth Proportional to 257.47, 385.90 and 111.18

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Solution

The fourth proportional to 257.47, 385.90 and 111.18 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.47 : 385.90 = 111.18 : x
  2. Step 2: Convert to fraction form
    257.47/385.90 = 111.18/x
  3. Step 3: Cross multiply
    257.47x = 385.90 × 111.18
  4. Step 4: Simplify right side
    257.47x = 42,904.36
  5. Step 5: Solve for x
    x = 42,904.36/257.47
  6. Step 6: Final answer
    x = 166.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.