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Finding the Fourth Proportional to 463.90, 695.84 and 117.22

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Solution

The fourth proportional to 463.90, 695.84 and 117.22 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 695.84 = 117.22 : x
  2. Step 2: Convert to fraction form
    463.90/695.84 = 117.22/x
  3. Step 3: Cross multiply
    463.90x = 695.84 × 117.22
  4. Step 4: Simplify right side
    463.90x = 81,566.36
  5. Step 5: Solve for x
    x = 81,566.36/463.90
  6. Step 6: Final answer
    x = 175.83

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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.