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Finding the Fourth Proportional to 341.72, 512.51 and 98.18

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Solution

The fourth proportional to 341.72, 512.51 and 98.18 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 512.51 = 98.18 : x
  2. Step 2: Convert to fraction form
    341.72/512.51 = 98.18/x
  3. Step 3: Cross multiply
    341.72x = 512.51 × 98.18
  4. Step 4: Simplify right side
    341.72x = 50,319.02
  5. Step 5: Solve for x
    x = 50,319.02/341.72
  6. Step 6: Final answer
    x = 147.25

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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.