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Finding the Fourth Proportional to 263.14, 363.16 and 146.74

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Solution

The fourth proportional to 263.14, 363.16 and 146.74 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 363.16 = 146.74 : x
  2. Step 2: Convert to fraction form
    263.14/363.16 = 146.74/x
  3. Step 3: Cross multiply
    263.14x = 363.16 × 146.74
  4. Step 4: Simplify right side
    263.14x = 53,290.10
  5. Step 5: Solve for x
    x = 53,290.10/263.14
  6. Step 6: Final answer
    x = 202.52

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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.