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Finding the Fourth Proportional to 341.53, 512.46 and 146.66

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Solution

The fourth proportional to 341.53, 512.46 and 146.66 is: 220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 512.46 = 146.66 : x
  2. Step 2: Convert to fraction form
    341.53/512.46 = 146.66/x
  3. Step 3: Cross multiply
    341.53x = 512.46 × 146.66
  4. Step 4: Simplify right side
    341.53x = 75,157.38
  5. Step 5: Solve for x
    x = 75,157.38/341.53
  6. Step 6: Final answer
    x = 220.06

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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.