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Finding the Fourth Proportional to 282.80, 424.66 and 237.52

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Solution

The fourth proportional to 282.80, 424.66 and 237.52 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 424.66 = 237.52 : x
  2. Step 2: Convert to fraction form
    282.80/424.66 = 237.52/x
  3. Step 3: Cross multiply
    282.80x = 424.66 × 237.52
  4. Step 4: Simplify right side
    282.80x = 100,865.24
  5. Step 5: Solve for x
    x = 100,865.24/282.80
  6. Step 6: Final answer
    x = 356.67

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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.