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Finding the Fourth Proportional to 340.79, 510.26 and 185.99

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Solution

The fourth proportional to 340.79, 510.26 and 185.99 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.79 : 510.26 = 185.99 : x
  2. Step 2: Convert to fraction form
    340.79/510.26 = 185.99/x
  3. Step 3: Cross multiply
    340.79x = 510.26 × 185.99
  4. Step 4: Simplify right side
    340.79x = 94,899.78
  5. Step 5: Solve for x
    x = 94,899.78/340.79
  6. Step 6: Final answer
    x = 278.47

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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.