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Finding the Fourth Proportional to 174.29, 240.54 and 130.55

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Solution

The fourth proportional to 174.29, 240.54 and 130.55 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.29 : 240.54 = 130.55 : x
  2. Step 2: Convert to fraction form
    174.29/240.54 = 130.55/x
  3. Step 3: Cross multiply
    174.29x = 240.54 × 130.55
  4. Step 4: Simplify right side
    174.29x = 31,403.10
  5. Step 5: Solve for x
    x = 31,403.10/174.29
  6. Step 6: Final answer
    x = 180.17

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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.