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Finding the Fourth Proportional to 286.01, 429.02 and 189.13

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Solution

The fourth proportional to 286.01, 429.02 and 189.13 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.01 : 429.02 = 189.13 : x
  2. Step 2: Convert to fraction form
    286.01/429.02 = 189.13/x
  3. Step 3: Cross multiply
    286.01x = 429.02 × 189.13
  4. Step 4: Simplify right side
    286.01x = 81,139.61
  5. Step 5: Solve for x
    x = 81,139.61/286.01
  6. Step 6: Final answer
    x = 283.70

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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.