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Finding the Fourth Proportional to 296.68, 444.90 and 101.63

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Solution

The fourth proportional to 296.68, 444.90 and 101.63 is: 152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.68 : 444.90 = 101.63 : x
  2. Step 2: Convert to fraction form
    296.68/444.90 = 101.63/x
  3. Step 3: Cross multiply
    296.68x = 444.90 × 101.63
  4. Step 4: Simplify right side
    296.68x = 45,215.19
  5. Step 5: Solve for x
    x = 45,215.19/296.68
  6. Step 6: Final answer
    x = 152.41

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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.