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Finding the Fourth Proportional to 341.49, 512.32 and 98.03

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Solution

The fourth proportional to 341.49, 512.32 and 98.03 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.49 : 512.32 = 98.03 : x
  2. Step 2: Convert to fraction form
    341.49/512.32 = 98.03/x
  3. Step 3: Cross multiply
    341.49x = 512.32 × 98.03
  4. Step 4: Simplify right side
    341.49x = 50,224.01
  5. Step 5: Solve for x
    x = 50,224.01/341.49
  6. Step 6: Final answer
    x = 147.07

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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.