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Finding the Fourth Proportional to 263.40, 363.39 and 152.84

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Solution

The fourth proportional to 263.40, 363.39 and 152.84 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 363.39 = 152.84 : x
  2. Step 2: Convert to fraction form
    263.40/363.39 = 152.84/x
  3. Step 3: Cross multiply
    263.40x = 363.39 × 152.84
  4. Step 4: Simplify right side
    263.40x = 55,538.82
  5. Step 5: Solve for x
    x = 55,538.82/263.40
  6. Step 6: Final answer
    x = 210.85

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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.