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Finding the Fourth Proportional to 345, 517.74 and 152.68

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Solution

The fourth proportional to 345, 517.74 and 152.68 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 517.74 = 152.68 : x
  2. Step 2: Convert to fraction form
    345/517.74 = 152.68/x
  3. Step 3: Cross multiply
    345x = 517.74 × 152.68
  4. Step 4: Simplify right side
    345x = 79,048.54
  5. Step 5: Solve for x
    x = 79,048.54/345
  6. Step 6: Final answer
    x = 229.13

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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.