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Finding the Fourth Proportional to 340.57, 510.40 and 186.26

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Solution

The fourth proportional to 340.57, 510.40 and 186.26 is: 279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.57 : 510.40 = 186.26 : x
  2. Step 2: Convert to fraction form
    340.57/510.40 = 186.26/x
  3. Step 3: Cross multiply
    340.57x = 510.40 × 186.26
  4. Step 4: Simplify right side
    340.57x = 95,067.91
  5. Step 5: Solve for x
    x = 95,067.91/340.57
  6. Step 6: Final answer
    x = 279.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.