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Finding the Fourth Proportional to 251.18, 346.67 and 152.92

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Solution

The fourth proportional to 251.18, 346.67 and 152.92 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.18 : 346.67 = 152.92 : x
  2. Step 2: Convert to fraction form
    251.18/346.67 = 152.92/x
  3. Step 3: Cross multiply
    251.18x = 346.67 × 152.92
  4. Step 4: Simplify right side
    251.18x = 53,013.02
  5. Step 5: Solve for x
    x = 53,013.02/251.18
  6. Step 6: Final answer
    x = 211.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.