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Finding the Fourth Proportional to 340.40, 510.82 and 135.13

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Solution

The fourth proportional to 340.40, 510.82 and 135.13 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 510.82 = 135.13 : x
  2. Step 2: Convert to fraction form
    340.40/510.82 = 135.13/x
  3. Step 3: Cross multiply
    340.40x = 510.82 × 135.13
  4. Step 4: Simplify right side
    340.40x = 69,027.11
  5. Step 5: Solve for x
    x = 69,027.11/340.40
  6. Step 6: Final answer
    x = 202.78

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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.