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Finding the Fourth Proportional to 263.18, 363.12 and 152.59

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Solution

The fourth proportional to 263.18, 363.12 and 152.59 is: 210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.18 : 363.12 = 152.59 : x
  2. Step 2: Convert to fraction form
    263.18/363.12 = 152.59/x
  3. Step 3: Cross multiply
    263.18x = 363.12 × 152.59
  4. Step 4: Simplify right side
    263.18x = 55,407.57
  5. Step 5: Solve for x
    x = 55,407.57/263.18
  6. Step 6: Final answer
    x = 210.54

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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.