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Finding the Fourth Proportional to 340.55, 470.01 and 193.15

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Solution

The fourth proportional to 340.55, 470.01 and 193.15 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.55 : 470.01 = 193.15 : x
  2. Step 2: Convert to fraction form
    340.55/470.01 = 193.15/x
  3. Step 3: Cross multiply
    340.55x = 470.01 × 193.15
  4. Step 4: Simplify right side
    340.55x = 90,781.95
  5. Step 5: Solve for x
    x = 90,781.95/340.55
  6. Step 6: Final answer
    x = 266.58

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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.