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Finding the Fourth Proportional to 282.72, 424.05 and 160.98

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Solution

The fourth proportional to 282.72, 424.05 and 160.98 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.72 : 424.05 = 160.98 : x
  2. Step 2: Convert to fraction form
    282.72/424.05 = 160.98/x
  3. Step 3: Cross multiply
    282.72x = 424.05 × 160.98
  4. Step 4: Simplify right side
    282.72x = 68,263.57
  5. Step 5: Solve for x
    x = 68,263.57/282.72
  6. Step 6: Final answer
    x = 241.45

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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.