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Finding the Fourth Proportional to 174.35, 239.15 and 152.48

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Solution

The fourth proportional to 174.35, 239.15 and 152.48 is: 209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 239.15 = 152.48 : x
  2. Step 2: Convert to fraction form
    174.35/239.15 = 152.48/x
  3. Step 3: Cross multiply
    174.35x = 239.15 × 152.48
  4. Step 4: Simplify right side
    174.35x = 36,466.57
  5. Step 5: Solve for x
    x = 36,466.57/174.35
  6. Step 6: Final answer
    x = 209.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.