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Finding the Fourth Proportional to 283.42, 424.30 and 174.88

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Solution

The fourth proportional to 283.42, 424.30 and 174.88 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.42 : 424.30 = 174.88 : x
  2. Step 2: Convert to fraction form
    283.42/424.30 = 174.88/x
  3. Step 3: Cross multiply
    283.42x = 424.30 × 174.88
  4. Step 4: Simplify right side
    283.42x = 74,201.58
  5. Step 5: Solve for x
    x = 74,201.58/283.42
  6. Step 6: Final answer
    x = 261.81

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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.