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Finding the Fourth Proportional to 341.82, 512.55 and 149.40

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Solution

The fourth proportional to 341.82, 512.55 and 149.40 is: 224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 512.55 = 149.40 : x
  2. Step 2: Convert to fraction form
    341.82/512.55 = 149.40/x
  3. Step 3: Cross multiply
    341.82x = 512.55 × 149.40
  4. Step 4: Simplify right side
    341.82x = 76,574.97
  5. Step 5: Solve for x
    x = 76,574.97/341.82
  6. Step 6: Final answer
    x = 224.02

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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.