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Finding the Fourth Proportional to 145.24, 200.22 and 117.48

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Solution

The fourth proportional to 145.24, 200.22 and 117.48 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 200.22 = 117.48 : x
  2. Step 2: Convert to fraction form
    145.24/200.22 = 117.48/x
  3. Step 3: Cross multiply
    145.24x = 200.22 × 117.48
  4. Step 4: Simplify right side
    145.24x = 23,521.85
  5. Step 5: Solve for x
    x = 23,521.85/145.24
  6. Step 6: Final answer
    x = 161.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.