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Finding the Fourth Proportional to 263.49, 363.55 and 152.90

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Solution

The fourth proportional to 263.49, 363.55 and 152.90 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.49 : 363.55 = 152.90 : x
  2. Step 2: Convert to fraction form
    263.49/363.55 = 152.90/x
  3. Step 3: Cross multiply
    263.49x = 363.55 × 152.90
  4. Step 4: Simplify right side
    263.49x = 55,586.41
  5. Step 5: Solve for x
    x = 55,586.41/263.49
  6. Step 6: Final answer
    x = 210.96

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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.