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Finding the Fourth Proportional to 467.84, 702.05 and 193.93

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Solution

The fourth proportional to 467.84, 702.05 and 193.93 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 702.05 = 193.93 : x
  2. Step 2: Convert to fraction form
    467.84/702.05 = 193.93/x
  3. Step 3: Cross multiply
    467.84x = 702.05 × 193.93
  4. Step 4: Simplify right side
    467.84x = 136,148.56
  5. Step 5: Solve for x
    x = 136,148.56/467.84
  6. Step 6: Final answer
    x = 291.02

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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.