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Finding the Fourth Proportional to 212.63, 318.95 and 97.08

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Solution

The fourth proportional to 212.63, 318.95 and 97.08 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 318.95 = 97.08 : x
  2. Step 2: Convert to fraction form
    212.63/318.95 = 97.08/x
  3. Step 3: Cross multiply
    212.63x = 318.95 × 97.08
  4. Step 4: Simplify right side
    212.63x = 30,963.91
  5. Step 5: Solve for x
    x = 30,963.91/212.63
  6. Step 6: Final answer
    x = 145.63

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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.