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Finding the Fourth Proportional to 341.60, 512.34 and 98.12

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Solution

The fourth proportional to 341.60, 512.34 and 98.12 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.60 : 512.34 = 98.12 : x
  2. Step 2: Convert to fraction form
    341.60/512.34 = 98.12/x
  3. Step 3: Cross multiply
    341.60x = 512.34 × 98.12
  4. Step 4: Simplify right side
    341.60x = 50,270.80
  5. Step 5: Solve for x
    x = 50,270.80/341.60
  6. Step 6: Final answer
    x = 147.16

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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.