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Finding the Fourth Proportional to 282.88, 424.25 and 97.79

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Solution

The fourth proportional to 282.88, 424.25 and 97.79 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 424.25 = 97.79 : x
  2. Step 2: Convert to fraction form
    282.88/424.25 = 97.79/x
  3. Step 3: Cross multiply
    282.88x = 424.25 × 97.79
  4. Step 4: Simplify right side
    282.88x = 41,489.48
  5. Step 5: Solve for x
    x = 41,489.48/282.88
  6. Step 6: Final answer
    x = 146.67

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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.