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Finding the Fourth Proportional to 283.64, 424.64 and 180.46

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Solution

The fourth proportional to 283.64, 424.64 and 180.46 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 424.64 = 180.46 : x
  2. Step 2: Convert to fraction form
    283.64/424.64 = 180.46/x
  3. Step 3: Cross multiply
    283.64x = 424.64 × 180.46
  4. Step 4: Simplify right side
    283.64x = 76,631.52
  5. Step 5: Solve for x
    x = 76,631.52/283.64
  6. Step 6: Final answer
    x = 270.18

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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.