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Finding the Fourth Proportional to 212.94, 319.26 and 97.32

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Solution

The fourth proportional to 212.94, 319.26 and 97.32 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 319.26 = 97.32 : x
  2. Step 2: Convert to fraction form
    212.94/319.26 = 97.32/x
  3. Step 3: Cross multiply
    212.94x = 319.26 × 97.32
  4. Step 4: Simplify right side
    212.94x = 31,070.38
  5. Step 5: Solve for x
    x = 31,070.38/212.94
  6. Step 6: Final answer
    x = 145.91

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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.