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Finding the Fourth Proportional to 153.52, 213.28 and 152.10

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Solution

The fourth proportional to 153.52, 213.28 and 152.10 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.52 : 213.28 = 152.10 : x
  2. Step 2: Convert to fraction form
    153.52/213.28 = 152.10/x
  3. Step 3: Cross multiply
    153.52x = 213.28 × 152.10
  4. Step 4: Simplify right side
    153.52x = 32,439.89
  5. Step 5: Solve for x
    x = 32,439.89/153.52
  6. Step 6: Final answer
    x = 211.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.