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Finding the Fourth Proportional to 340.61, 470.06 and 193.24

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Solution

The fourth proportional to 340.61, 470.06 and 193.24 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 470.06 = 193.24 : x
  2. Step 2: Convert to fraction form
    340.61/470.06 = 193.24/x
  3. Step 3: Cross multiply
    340.61x = 470.06 × 193.24
  4. Step 4: Simplify right side
    340.61x = 90,834.39
  5. Step 5: Solve for x
    x = 90,834.39/340.61
  6. Step 6: Final answer
    x = 266.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.