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Finding the Fourth Proportional to 283.17, 424.14 and 174.63

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Solution

The fourth proportional to 283.17, 424.14 and 174.63 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.17 : 424.14 = 174.63 : x
  2. Step 2: Convert to fraction form
    283.17/424.14 = 174.63/x
  3. Step 3: Cross multiply
    283.17x = 424.14 × 174.63
  4. Step 4: Simplify right side
    283.17x = 74,067.57
  5. Step 5: Solve for x
    x = 74,067.57/283.17
  6. Step 6: Final answer
    x = 261.57

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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.