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Finding the Fourth Proportional to 180.88, 250.32 and 153.52

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Solution

The fourth proportional to 180.88, 250.32 and 153.52 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.88 : 250.32 = 153.52 : x
  2. Step 2: Convert to fraction form
    180.88/250.32 = 153.52/x
  3. Step 3: Cross multiply
    180.88x = 250.32 × 153.52
  4. Step 4: Simplify right side
    180.88x = 38,429.13
  5. Step 5: Solve for x
    x = 38,429.13/180.88
  6. Step 6: Final answer
    x = 212.46

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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.