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Finding the Fourth Proportional to 340.69, 510.58 and 186.39

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Solution

The fourth proportional to 340.69, 510.58 and 186.39 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 510.58 = 186.39 : x
  2. Step 2: Convert to fraction form
    340.69/510.58 = 186.39/x
  3. Step 3: Cross multiply
    340.69x = 510.58 × 186.39
  4. Step 4: Simplify right side
    340.69x = 95,167.01
  5. Step 5: Solve for x
    x = 95,167.01/340.69
  6. Step 6: Final answer
    x = 279.34

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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.