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Finding the Fourth Proportional to 174.30, 261.49 and 52.57

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Solution

The fourth proportional to 174.30, 261.49 and 52.57 is: 78.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 261.49 = 52.57 : x
  2. Step 2: Convert to fraction form
    174.30/261.49 = 52.57/x
  3. Step 3: Cross multiply
    174.30x = 261.49 × 52.57
  4. Step 4: Simplify right side
    174.30x = 13,746.53
  5. Step 5: Solve for x
    x = 13,746.53/174.30
  6. Step 6: Final answer
    x = 78.87

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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.