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Finding the Fourth Proportional to 252.32, 378.30 and 96.08

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Solution

The fourth proportional to 252.32, 378.30 and 96.08 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 378.30 = 96.08 : x
  2. Step 2: Convert to fraction form
    252.32/378.30 = 96.08/x
  3. Step 3: Cross multiply
    252.32x = 378.30 × 96.08
  4. Step 4: Simplify right side
    252.32x = 36,347.06
  5. Step 5: Solve for x
    x = 36,347.06/252.32
  6. Step 6: Final answer
    x = 144.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.