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Finding the Fourth Proportional to 340.38, 510.58 and 178.38

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Solution

The fourth proportional to 340.38, 510.58 and 178.38 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 510.58 = 178.38 : x
  2. Step 2: Convert to fraction form
    340.38/510.58 = 178.38/x
  3. Step 3: Cross multiply
    340.38x = 510.58 × 178.38
  4. Step 4: Simplify right side
    340.38x = 91,079.40
  5. Step 5: Solve for x
    x = 91,079.40/340.38
  6. Step 6: Final answer
    x = 267.58

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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.