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Finding the Fourth Proportional to 340.11, 510.03 and 147.69

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Solution

The fourth proportional to 340.11, 510.03 and 147.69 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.11 : 510.03 = 147.69 : x
  2. Step 2: Convert to fraction form
    340.11/510.03 = 147.69/x
  3. Step 3: Cross multiply
    340.11x = 510.03 × 147.69
  4. Step 4: Simplify right side
    340.11x = 75,326.33
  5. Step 5: Solve for x
    x = 75,326.33/340.11
  6. Step 6: Final answer
    x = 221.48

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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.