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Finding the Fourth Proportional to 467.95, 702.18 and 194.23

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Solution

The fourth proportional to 467.95, 702.18 and 194.23 is: 291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.95 : 702.18 = 194.23 : x
  2. Step 2: Convert to fraction form
    467.95/702.18 = 194.23/x
  3. Step 3: Cross multiply
    467.95x = 702.18 × 194.23
  4. Step 4: Simplify right side
    467.95x = 136,383.45
  5. Step 5: Solve for x
    x = 136,383.45/467.95
  6. Step 6: Final answer
    x = 291.45

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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.