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Finding the Fourth Proportional to 282.07, 422.66 and 152.08

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Solution

The fourth proportional to 282.07, 422.66 and 152.08 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.07 : 422.66 = 152.08 : x
  2. Step 2: Convert to fraction form
    282.07/422.66 = 152.08/x
  3. Step 3: Cross multiply
    282.07x = 422.66 × 152.08
  4. Step 4: Simplify right side
    282.07x = 64,278.13
  5. Step 5: Solve for x
    x = 64,278.13/282.07
  6. Step 6: Final answer
    x = 227.88

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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.