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Finding the Fourth Proportional to 257.59, 355.37 and 147.00

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Solution

The fourth proportional to 257.59, 355.37 and 147.00 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.59 : 355.37 = 147.00 : x
  2. Step 2: Convert to fraction form
    257.59/355.37 = 147.00/x
  3. Step 3: Cross multiply
    257.59x = 355.37 × 147.00
  4. Step 4: Simplify right side
    257.59x = 52,240.40
  5. Step 5: Solve for x
    x = 52,240.40/257.59
  6. Step 6: Final answer
    x = 202.81

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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.