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Finding the Fourth Proportional to 340.84, 510.91 and 158.19

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Solution

The fourth proportional to 340.84, 510.91 and 158.19 is: 237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.84 : 510.91 = 158.19 : x
  2. Step 2: Convert to fraction form
    340.84/510.91 = 158.19/x
  3. Step 3: Cross multiply
    340.84x = 510.91 × 158.19
  4. Step 4: Simplify right side
    340.84x = 80,818.54
  5. Step 5: Solve for x
    x = 80,818.54/340.84
  6. Step 6: Final answer
    x = 237.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.