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Finding the Fourth Proportional to 257.61, 355.52 and 147.10

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Solution

The fourth proportional to 257.61, 355.52 and 147.10 is: 203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.61 : 355.52 = 147.10 : x
  2. Step 2: Convert to fraction form
    257.61/355.52 = 147.10/x
  3. Step 3: Cross multiply
    257.61x = 355.52 × 147.10
  4. Step 4: Simplify right side
    257.61x = 52,297.14
  5. Step 5: Solve for x
    x = 52,297.14/257.61
  6. Step 6: Final answer
    x = 203.01

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Why These Related Problems?

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