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Finding the Fourth Proportional to 605.55, 907.97 and 194.70

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Solution

The fourth proportional to 605.55, 907.97 and 194.70 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.55 : 907.97 = 194.70 : x
  2. Step 2: Convert to fraction form
    605.55/907.97 = 194.70/x
  3. Step 3: Cross multiply
    605.55x = 907.97 × 194.70
  4. Step 4: Simplify right side
    605.55x = 176,780.79
  5. Step 5: Solve for x
    x = 176,780.79/605.55
  6. Step 6: Final answer
    x = 291.93

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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.