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Finding the Fourth Proportional to 283.10, 390.87 and 185.02

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Solution

The fourth proportional to 283.10, 390.87 and 185.02 is: 255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 390.87 = 185.02 : x
  2. Step 2: Convert to fraction form
    283.10/390.87 = 185.02/x
  3. Step 3: Cross multiply
    283.10x = 390.87 × 185.02
  4. Step 4: Simplify right side
    283.10x = 72,318.77
  5. Step 5: Solve for x
    x = 72,318.77/283.10
  6. Step 6: Final answer
    x = 255.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.