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Finding the Fourth Proportional to 296.65, 444.52 and 188.11

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Solution

The fourth proportional to 296.65, 444.52 and 188.11 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.65 : 444.52 = 188.11 : x
  2. Step 2: Convert to fraction form
    296.65/444.52 = 188.11/x
  3. Step 3: Cross multiply
    296.65x = 444.52 × 188.11
  4. Step 4: Simplify right side
    296.65x = 83,615.96
  5. Step 5: Solve for x
    x = 83,615.96/296.65
  6. Step 6: Final answer
    x = 281.87

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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.