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Finding the Fourth Proportional to 286.39, 429.86 and 149.50

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Solution

The fourth proportional to 286.39, 429.86 and 149.50 is: 224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.39 : 429.86 = 149.50 : x
  2. Step 2: Convert to fraction form
    286.39/429.86 = 149.50/x
  3. Step 3: Cross multiply
    286.39x = 429.86 × 149.50
  4. Step 4: Simplify right side
    286.39x = 64,264.07
  5. Step 5: Solve for x
    x = 64,264.07/286.39
  6. Step 6: Final answer
    x = 224.39

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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.