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Finding the Fourth Proportional to 257.98, 356.01 and 147.46

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Solution

The fourth proportional to 257.98, 356.01 and 147.46 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 356.01 = 147.46 : x
  2. Step 2: Convert to fraction form
    257.98/356.01 = 147.46/x
  3. Step 3: Cross multiply
    257.98x = 356.01 × 147.46
  4. Step 4: Simplify right side
    257.98x = 52,495.85
  5. Step 5: Solve for x
    x = 52,495.85/257.98
  6. Step 6: Final answer
    x = 203.49

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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.