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Finding the Fourth Proportional to 340.98, 511.14 and 124.41

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Solution

The fourth proportional to 340.98, 511.14 and 124.41 is: 186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 511.14 = 124.41 : x
  2. Step 2: Convert to fraction form
    340.98/511.14 = 124.41/x
  3. Step 3: Cross multiply
    340.98x = 511.14 × 124.41
  4. Step 4: Simplify right side
    340.98x = 63,590.93
  5. Step 5: Solve for x
    x = 63,590.93/340.98
  6. Step 6: Final answer
    x = 186.49

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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.