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Finding the Fourth Proportional to 173.52, 239.33 and 152.80

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Solution

The fourth proportional to 173.52, 239.33 and 152.80 is: 210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 239.33 = 152.80 : x
  2. Step 2: Convert to fraction form
    173.52/239.33 = 152.80/x
  3. Step 3: Cross multiply
    173.52x = 239.33 × 152.80
  4. Step 4: Simplify right side
    173.52x = 36,569.41
  5. Step 5: Solve for x
    x = 36,569.41/173.52
  6. Step 6: Final answer
    x = 210.75

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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.