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Finding the Fourth Proportional to 152.78, 212.24 and 151.30

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Solution

The fourth proportional to 152.78, 212.24 and 151.30 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.78 : 212.24 = 151.30 : x
  2. Step 2: Convert to fraction form
    152.78/212.24 = 151.30/x
  3. Step 3: Cross multiply
    152.78x = 212.24 × 151.30
  4. Step 4: Simplify right side
    152.78x = 32,111.91
  5. Step 5: Solve for x
    x = 32,111.91/152.78
  6. Step 6: Final answer
    x = 210.18

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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.