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Finding the Fourth Proportional to 283.62, 425.12 and 186.16

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Solution

The fourth proportional to 283.62, 425.12 and 186.16 is: 279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.62 : 425.12 = 186.16 : x
  2. Step 2: Convert to fraction form
    283.62/425.12 = 186.16/x
  3. Step 3: Cross multiply
    283.62x = 425.12 × 186.16
  4. Step 4: Simplify right side
    283.62x = 79,140.34
  5. Step 5: Solve for x
    x = 79,140.34/283.62
  6. Step 6: Final answer
    x = 279.04

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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.