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Finding the Fourth Proportional to 282.95, 424.65 and 161.27

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Solution

The fourth proportional to 282.95, 424.65 and 161.27 is: 242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.95 : 424.65 = 161.27 : x
  2. Step 2: Convert to fraction form
    282.95/424.65 = 161.27/x
  3. Step 3: Cross multiply
    282.95x = 424.65 × 161.27
  4. Step 4: Simplify right side
    282.95x = 68,483.31
  5. Step 5: Solve for x
    x = 68,483.31/282.95
  6. Step 6: Final answer
    x = 242.03

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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.