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Finding the Fourth Proportional to 340.29, 510.32 and 186.18

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Solution

The fourth proportional to 340.29, 510.32 and 186.18 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.29 : 510.32 = 186.18 : x
  2. Step 2: Convert to fraction form
    340.29/510.32 = 186.18/x
  3. Step 3: Cross multiply
    340.29x = 510.32 × 186.18
  4. Step 4: Simplify right side
    340.29x = 95,011.38
  5. Step 5: Solve for x
    x = 95,011.38/340.29
  6. Step 6: Final answer
    x = 279.21

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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.