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Finding the Fourth Proportional to 340.41, 510.65 and 106.15

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Solution

The fourth proportional to 340.41, 510.65 and 106.15 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 510.65 = 106.15 : x
  2. Step 2: Convert to fraction form
    340.41/510.65 = 106.15/x
  3. Step 3: Cross multiply
    340.41x = 510.65 × 106.15
  4. Step 4: Simplify right side
    340.41x = 54,206.91
  5. Step 5: Solve for x
    x = 54,206.91/340.41
  6. Step 6: Final answer
    x = 159.24

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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.