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Finding the Fourth Proportional to 345.53, 517.89 and 152.75

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Solution

The fourth proportional to 345.53, 517.89 and 152.75 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.53 : 517.89 = 152.75 : x
  2. Step 2: Convert to fraction form
    345.53/517.89 = 152.75/x
  3. Step 3: Cross multiply
    345.53x = 517.89 × 152.75
  4. Step 4: Simplify right side
    345.53x = 79,107.70
  5. Step 5: Solve for x
    x = 79,107.70/345.53
  6. Step 6: Final answer
    x = 228.95

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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.