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Finding the Fourth Proportional to 340.82, 510.31 and 178.16

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Solution

The fourth proportional to 340.82, 510.31 and 178.16 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.82 : 510.31 = 178.16 : x
  2. Step 2: Convert to fraction form
    340.82/510.31 = 178.16/x
  3. Step 3: Cross multiply
    340.82x = 510.31 × 178.16
  4. Step 4: Simplify right side
    340.82x = 90,916.83
  5. Step 5: Solve for x
    x = 90,916.83/340.82
  6. Step 6: Final answer
    x = 266.76

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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.