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Finding the Fourth Proportional to 212.78, 318.48 and 202.53

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Solution

The fourth proportional to 212.78, 318.48 and 202.53 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 318.48 = 202.53 : x
  2. Step 2: Convert to fraction form
    212.78/318.48 = 202.53/x
  3. Step 3: Cross multiply
    212.78x = 318.48 × 202.53
  4. Step 4: Simplify right side
    212.78x = 64,500.64
  5. Step 5: Solve for x
    x = 64,500.64/212.78
  6. Step 6: Final answer
    x = 303.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.