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Finding the Fourth Proportional to 384.17, 576.28 and 124.10

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Solution

The fourth proportional to 384.17, 576.28 and 124.10 is: 186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.17 : 576.28 = 124.10 : x
  2. Step 2: Convert to fraction form
    384.17/576.28 = 124.10/x
  3. Step 3: Cross multiply
    384.17x = 576.28 × 124.10
  4. Step 4: Simplify right side
    384.17x = 71,518.10
  5. Step 5: Solve for x
    x = 71,518.10/384.17
  6. Step 6: Final answer
    x = 186.17

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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.