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Finding the Fourth Proportional to 347.54, 521.40 and 131.07

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Solution

The fourth proportional to 347.54, 521.40 and 131.07 is: 196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.54 : 521.40 = 131.07 : x
  2. Step 2: Convert to fraction form
    347.54/521.40 = 131.07/x
  3. Step 3: Cross multiply
    347.54x = 521.40 × 131.07
  4. Step 4: Simplify right side
    347.54x = 68,339.90
  5. Step 5: Solve for x
    x = 68,339.90/347.54
  6. Step 6: Final answer
    x = 196.64

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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.