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Finding the Fourth Proportional to 174.53, 240.56 and 153.47

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Solution

The fourth proportional to 174.53, 240.56 and 153.47 is: 211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.53 : 240.56 = 153.47 : x
  2. Step 2: Convert to fraction form
    174.53/240.56 = 153.47/x
  3. Step 3: Cross multiply
    174.53x = 240.56 × 153.47
  4. Step 4: Simplify right side
    174.53x = 36,916.77
  5. Step 5: Solve for x
    x = 36,916.77/174.53
  6. Step 6: Final answer
    x = 211.53

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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.