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Finding the Fourth Proportional to 296.35, 444.52 and 101.37

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Solution

The fourth proportional to 296.35, 444.52 and 101.37 is: 152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.35 : 444.52 = 101.37 : x
  2. Step 2: Convert to fraction form
    296.35/444.52 = 101.37/x
  3. Step 3: Cross multiply
    296.35x = 444.52 × 101.37
  4. Step 4: Simplify right side
    296.35x = 45,060.99
  5. Step 5: Solve for x
    x = 45,060.99/296.35
  6. Step 6: Final answer
    x = 152.05

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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.