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Finding the Fourth Proportional to 468.59, 703.15 and 194.74

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Solution

The fourth proportional to 468.59, 703.15 and 194.74 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 703.15 = 194.74 : x
  2. Step 2: Convert to fraction form
    468.59/703.15 = 194.74/x
  3. Step 3: Cross multiply
    468.59x = 703.15 × 194.74
  4. Step 4: Simplify right side
    468.59x = 136,929.19
  5. Step 5: Solve for x
    x = 136,929.19/468.59
  6. Step 6: Final answer
    x = 292.22

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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.