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Finding the Fourth Proportional to 283, 424.02 and 178.90

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Solution

The fourth proportional to 283, 424.02 and 178.90 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283 : 424.02 = 178.90 : x
  2. Step 2: Convert to fraction form
    283/424.02 = 178.90/x
  3. Step 3: Cross multiply
    283x = 424.02 × 178.90
  4. Step 4: Simplify right side
    283x = 75,857.18
  5. Step 5: Solve for x
    x = 75,857.18/283
  6. Step 6: Final answer
    x = 268.05

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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.