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Finding the Fourth Proportional to 152.52, 211.89 and 151.10

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Solution

The fourth proportional to 152.52, 211.89 and 151.10 is: 209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 211.89 = 151.10 : x
  2. Step 2: Convert to fraction form
    152.52/211.89 = 151.10/x
  3. Step 3: Cross multiply
    152.52x = 211.89 × 151.10
  4. Step 4: Simplify right side
    152.52x = 32,017.68
  5. Step 5: Solve for x
    x = 32,017.68/152.52
  6. Step 6: Final answer
    x = 209.92

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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.