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Finding the Fourth Proportional to 263.06, 363.02 and 152.53

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Solution

The fourth proportional to 263.06, 363.02 and 152.53 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 363.02 = 152.53 : x
  2. Step 2: Convert to fraction form
    263.06/363.02 = 152.53/x
  3. Step 3: Cross multiply
    263.06x = 363.02 × 152.53
  4. Step 4: Simplify right side
    263.06x = 55,370.15
  5. Step 5: Solve for x
    x = 55,370.15/263.06
  6. Step 6: Final answer
    x = 210.49

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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.