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Finding the Fourth Proportional to 468.18, 701.55 and 194.04

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Solution

The fourth proportional to 468.18, 701.55 and 194.04 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 701.55 = 194.04 : x
  2. Step 2: Convert to fraction form
    468.18/701.55 = 194.04/x
  3. Step 3: Cross multiply
    468.18x = 701.55 × 194.04
  4. Step 4: Simplify right side
    468.18x = 136,128.76
  5. Step 5: Solve for x
    x = 136,128.76/468.18
  6. Step 6: Final answer
    x = 290.76

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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.