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Finding the Fourth Proportional to 468.84, 703.24 and 194.93

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Solution

The fourth proportional to 468.84, 703.24 and 194.93 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.84 : 703.24 = 194.93 : x
  2. Step 2: Convert to fraction form
    468.84/703.24 = 194.93/x
  3. Step 3: Cross multiply
    468.84x = 703.24 × 194.93
  4. Step 4: Simplify right side
    468.84x = 137,082.57
  5. Step 5: Solve for x
    x = 137,082.57/468.84
  6. Step 6: Final answer
    x = 292.39

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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.