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Finding the Fourth Proportional to 340.02, 509.94 and 177.84

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Solution

The fourth proportional to 340.02, 509.94 and 177.84 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 509.94 = 177.84 : x
  2. Step 2: Convert to fraction form
    340.02/509.94 = 177.84/x
  3. Step 3: Cross multiply
    340.02x = 509.94 × 177.84
  4. Step 4: Simplify right side
    340.02x = 90,687.73
  5. Step 5: Solve for x
    x = 90,687.73/340.02
  6. Step 6: Final answer
    x = 266.71

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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.