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Finding the Fourth Proportional to 347.66, 521.40 and 131.20

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Solution

The fourth proportional to 347.66, 521.40 and 131.20 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 521.40 = 131.20 : x
  2. Step 2: Convert to fraction form
    347.66/521.40 = 131.20/x
  3. Step 3: Cross multiply
    347.66x = 521.40 × 131.20
  4. Step 4: Simplify right side
    347.66x = 68,407.68
  5. Step 5: Solve for x
    x = 68,407.68/347.66
  6. Step 6: Final answer
    x = 196.77

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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.