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Finding the Fourth Proportional to 468.65, 703.08 and 194.81

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Solution

The fourth proportional to 468.65, 703.08 and 194.81 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.65 : 703.08 = 194.81 : x
  2. Step 2: Convert to fraction form
    468.65/703.08 = 194.81/x
  3. Step 3: Cross multiply
    468.65x = 703.08 × 194.81
  4. Step 4: Simplify right side
    468.65x = 136,963.50
  5. Step 5: Solve for x
    x = 136,963.50/468.65
  6. Step 6: Final answer
    x = 292.25

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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.