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Finding the Fourth Proportional to 296.38, 444.75 and 188.38

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Solution

The fourth proportional to 296.38, 444.75 and 188.38 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 444.75 = 188.38 : x
  2. Step 2: Convert to fraction form
    296.38/444.75 = 188.38/x
  3. Step 3: Cross multiply
    296.38x = 444.75 × 188.38
  4. Step 4: Simplify right side
    296.38x = 83,782.01
  5. Step 5: Solve for x
    x = 83,782.01/296.38
  6. Step 6: Final answer
    x = 282.68

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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.