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Finding the Fourth Proportional to 340.05, 510.02 and 185.92

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Solution

The fourth proportional to 340.05, 510.02 and 185.92 is: 278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.05 : 510.02 = 185.92 : x
  2. Step 2: Convert to fraction form
    340.05/510.02 = 185.92/x
  3. Step 3: Cross multiply
    340.05x = 510.02 × 185.92
  4. Step 4: Simplify right side
    340.05x = 94,823.37
  5. Step 5: Solve for x
    x = 94,823.37/340.05
  6. Step 6: Final answer
    x = 278.85

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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.