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Finding the Fourth Proportional to 637.55, 956.30 and 175.31

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Solution

The fourth proportional to 637.55, 956.30 and 175.31 is: 262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.55 : 956.30 = 175.31 : x
  2. Step 2: Convert to fraction form
    637.55/956.30 = 175.31/x
  3. Step 3: Cross multiply
    637.55x = 956.30 × 175.31
  4. Step 4: Simplify right side
    637.55x = 167,648.95
  5. Step 5: Solve for x
    x = 167,648.95/637.55
  6. Step 6: Final answer
    x = 262.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.