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Finding the Fourth Proportional to 212.51, 318.84 and 96.95

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Solution

The fourth proportional to 212.51, 318.84 and 96.95 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.51 : 318.84 = 96.95 : x
  2. Step 2: Convert to fraction form
    212.51/318.84 = 96.95/x
  3. Step 3: Cross multiply
    212.51x = 318.84 × 96.95
  4. Step 4: Simplify right side
    212.51x = 30,909.94
  5. Step 5: Solve for x
    x = 30,909.94/212.51
  6. Step 6: Final answer
    x = 145.46

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