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Finding the Fourth Proportional to 637.13, 955.66 and 174.90

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Solution

The fourth proportional to 637.13, 955.66 and 174.90 is: 262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.13 : 955.66 = 174.90 : x
  2. Step 2: Convert to fraction form
    637.13/955.66 = 174.90/x
  3. Step 3: Cross multiply
    637.13x = 955.66 × 174.90
  4. Step 4: Simplify right side
    637.13x = 167,144.93
  5. Step 5: Solve for x
    x = 167,144.93/637.13
  6. Step 6: Final answer
    x = 262.34

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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.