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Finding the Fourth Proportional to 341.68, 512.53 and 98.21

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Solution

The fourth proportional to 341.68, 512.53 and 98.21 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 512.53 = 98.21 : x
  2. Step 2: Convert to fraction form
    341.68/512.53 = 98.21/x
  3. Step 3: Cross multiply
    341.68x = 512.53 × 98.21
  4. Step 4: Simplify right side
    341.68x = 50,332.76
  5. Step 5: Solve for x
    x = 50,332.76/341.68
  6. Step 6: Final answer
    x = 147.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.