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Finding the Fourth Proportional to 340.35, 510.14 and 155.39

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Solution

The fourth proportional to 340.35, 510.14 and 155.39 is: 232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 510.14 = 155.39 : x
  2. Step 2: Convert to fraction form
    340.35/510.14 = 155.39/x
  3. Step 3: Cross multiply
    340.35x = 510.14 × 155.39
  4. Step 4: Simplify right side
    340.35x = 79,267.33
  5. Step 5: Solve for x
    x = 79,267.33/340.35
  6. Step 6: Final answer
    x = 232.90

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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.