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Finding the Fourth Proportional to 283.15, 390.76 and 158.83

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Solution

The fourth proportional to 283.15, 390.76 and 158.83 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.15 : 390.76 = 158.83 : x
  2. Step 2: Convert to fraction form
    283.15/390.76 = 158.83/x
  3. Step 3: Cross multiply
    283.15x = 390.76 × 158.83
  4. Step 4: Simplify right side
    283.15x = 62,063.04
  5. Step 5: Solve for x
    x = 62,063.04/283.15
  6. Step 6: Final answer
    x = 219.19

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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.