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Finding the Fourth Proportional to 152.57, 211.96 and 151.15

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Solution

The fourth proportional to 152.57, 211.96 and 151.15 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 211.96 = 151.15 : x
  2. Step 2: Convert to fraction form
    152.57/211.96 = 151.15/x
  3. Step 3: Cross multiply
    152.57x = 211.96 × 151.15
  4. Step 4: Simplify right side
    152.57x = 32,036.85
  5. Step 5: Solve for x
    x = 32,036.85/152.57
  6. Step 6: Final answer
    x = 209.98

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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.