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Finding the Fourth Proportional to 286.17, 428.90 and 148.91

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Solution

The fourth proportional to 286.17, 428.90 and 148.91 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 428.90 = 148.91 : x
  2. Step 2: Convert to fraction form
    286.17/428.90 = 148.91/x
  3. Step 3: Cross multiply
    286.17x = 428.90 × 148.91
  4. Step 4: Simplify right side
    286.17x = 63,864.61
  5. Step 5: Solve for x
    x = 63,864.61/286.17
  6. Step 6: Final answer
    x = 223.17

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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.