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Finding the Fourth Proportional to 345.10, 517.76 and 113.98

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Solution

The fourth proportional to 345.10, 517.76 and 113.98 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 517.76 = 113.98 : x
  2. Step 2: Convert to fraction form
    345.10/517.76 = 113.98/x
  3. Step 3: Cross multiply
    345.10x = 517.76 × 113.98
  4. Step 4: Simplify right side
    345.10x = 59,014.28
  5. Step 5: Solve for x
    x = 59,014.28/345.10
  6. Step 6: Final answer
    x = 171.01

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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.