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Finding the Fourth Proportional to 283.14, 424.10 and 185.40

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Solution

The fourth proportional to 283.14, 424.10 and 185.40 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 424.10 = 185.40 : x
  2. Step 2: Convert to fraction form
    283.14/424.10 = 185.40/x
  3. Step 3: Cross multiply
    283.14x = 424.10 × 185.40
  4. Step 4: Simplify right side
    283.14x = 78,628.14
  5. Step 5: Solve for x
    x = 78,628.14/283.14
  6. Step 6: Final answer
    x = 277.70

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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.