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Finding the Fourth Proportional to 341.74, 512.62 and 146.69

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Solution

The fourth proportional to 341.74, 512.62 and 146.69 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.74 : 512.62 = 146.69 : x
  2. Step 2: Convert to fraction form
    341.74/512.62 = 146.69/x
  3. Step 3: Cross multiply
    341.74x = 512.62 × 146.69
  4. Step 4: Simplify right side
    341.74x = 75,196.23
  5. Step 5: Solve for x
    x = 75,196.23/341.74
  6. Step 6: Final answer
    x = 220.04

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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.