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Finding the Fourth Proportional to 345.99, 519.16 and 153.57

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Solution

The fourth proportional to 345.99, 519.16 and 153.57 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.99 : 519.16 = 153.57 : x
  2. Step 2: Convert to fraction form
    345.99/519.16 = 153.57/x
  3. Step 3: Cross multiply
    345.99x = 519.16 × 153.57
  4. Step 4: Simplify right side
    345.99x = 79,724.04
  5. Step 5: Solve for x
    x = 79,724.04/345.99
  6. Step 6: Final answer
    x = 230.43

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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.