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Finding the Fourth Proportional to 257.24, 355.02 and 146.77

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Solution

The fourth proportional to 257.24, 355.02 and 146.77 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 355.02 = 146.77 : x
  2. Step 2: Convert to fraction form
    257.24/355.02 = 146.77/x
  3. Step 3: Cross multiply
    257.24x = 355.02 × 146.77
  4. Step 4: Simplify right side
    257.24x = 52,106.29
  5. Step 5: Solve for x
    x = 52,106.29/257.24
  6. Step 6: Final answer
    x = 202.56

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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.