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Finding the Fourth Proportional to 174.32, 240.41 and 146.75

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Solution

The fourth proportional to 174.32, 240.41 and 146.75 is: 202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.32 : 240.41 = 146.75 : x
  2. Step 2: Convert to fraction form
    174.32/240.41 = 146.75/x
  3. Step 3: Cross multiply
    174.32x = 240.41 × 146.75
  4. Step 4: Simplify right side
    174.32x = 35,280.17
  5. Step 5: Solve for x
    x = 35,280.17/174.32
  6. Step 6: Final answer
    x = 202.39

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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.