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Finding the Fourth Proportional to 340.46, 510.72 and 186.38

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Solution

The fourth proportional to 340.46, 510.72 and 186.38 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.46 : 510.72 = 186.38 : x
  2. Step 2: Convert to fraction form
    340.46/510.72 = 186.38/x
  3. Step 3: Cross multiply
    340.46x = 510.72 × 186.38
  4. Step 4: Simplify right side
    340.46x = 95,187.99
  5. Step 5: Solve for x
    x = 95,187.99/340.46
  6. Step 6: Final answer
    x = 279.59

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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.