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Finding the Fourth Proportional to 345.10, 517.55 and 114.02

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Solution

The fourth proportional to 345.10, 517.55 and 114.02 is: 171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 517.55 = 114.02 : x
  2. Step 2: Convert to fraction form
    345.10/517.55 = 114.02/x
  3. Step 3: Cross multiply
    345.10x = 517.55 × 114.02
  4. Step 4: Simplify right side
    345.10x = 59,011.05
  5. Step 5: Solve for x
    x = 59,011.05/345.10
  6. Step 6: Final answer
    x = 171.00

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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.