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Finding the Fourth Proportional to 283.17, 424.32 and 180.21

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Solution

The fourth proportional to 283.17, 424.32 and 180.21 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.17 : 424.32 = 180.21 : x
  2. Step 2: Convert to fraction form
    283.17/424.32 = 180.21/x
  3. Step 3: Cross multiply
    283.17x = 424.32 × 180.21
  4. Step 4: Simplify right side
    283.17x = 76,466.71
  5. Step 5: Solve for x
    x = 76,466.71/283.17
  6. Step 6: Final answer
    x = 270.04

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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.