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Finding the Fourth Proportional to 468.53, 702.86 and 194.81

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Solution

The fourth proportional to 468.53, 702.86 and 194.81 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 702.86 = 194.81 : x
  2. Step 2: Convert to fraction form
    468.53/702.86 = 194.81/x
  3. Step 3: Cross multiply
    468.53x = 702.86 × 194.81
  4. Step 4: Simplify right side
    468.53x = 136,919.67
  5. Step 5: Solve for x
    x = 136,919.67/468.53
  6. Step 6: Final answer
    x = 292.24

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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.