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Finding the Fourth Proportional to 257.48, 355.22 and 146.93

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Solution

The fourth proportional to 257.48, 355.22 and 146.93 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 355.22 = 146.93 : x
  2. Step 2: Convert to fraction form
    257.48/355.22 = 146.93/x
  3. Step 3: Cross multiply
    257.48x = 355.22 × 146.93
  4. Step 4: Simplify right side
    257.48x = 52,192.63
  5. Step 5: Solve for x
    x = 52,192.63/257.48
  6. Step 6: Final answer
    x = 202.71

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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.