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Finding the Fourth Proportional to 345.10, 517.71 and 152.86

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Solution

The fourth proportional to 345.10, 517.71 and 152.86 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 517.71 = 152.86 : x
  2. Step 2: Convert to fraction form
    345.10/517.71 = 152.86/x
  3. Step 3: Cross multiply
    345.10x = 517.71 × 152.86
  4. Step 4: Simplify right side
    345.10x = 79,137.15
  5. Step 5: Solve for x
    x = 79,137.15/345.10
  6. Step 6: Final answer
    x = 229.32

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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.