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Finding the Fourth Proportional to 340.75, 511.06 and 158.12

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Solution

The fourth proportional to 340.75, 511.06 and 158.12 is: 237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 511.06 = 158.12 : x
  2. Step 2: Convert to fraction form
    340.75/511.06 = 158.12/x
  3. Step 3: Cross multiply
    340.75x = 511.06 × 158.12
  4. Step 4: Simplify right side
    340.75x = 80,808.81
  5. Step 5: Solve for x
    x = 80,808.81/340.75
  6. Step 6: Final answer
    x = 237.15

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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.