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Finding the Fourth Proportional to 296.43, 444.60 and 101.40

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Solution

The fourth proportional to 296.43, 444.60 and 101.40 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 444.60 = 101.40 : x
  2. Step 2: Convert to fraction form
    296.43/444.60 = 101.40/x
  3. Step 3: Cross multiply
    296.43x = 444.60 × 101.40
  4. Step 4: Simplify right side
    296.43x = 45,082.44
  5. Step 5: Solve for x
    x = 45,082.44/296.43
  6. Step 6: Final answer
    x = 152.08

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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.