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Finding the Fourth Proportional to 212.56, 292.98 and 154.24

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Solution

The fourth proportional to 212.56, 292.98 and 154.24 is: 212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 292.98 = 154.24 : x
  2. Step 2: Convert to fraction form
    212.56/292.98 = 154.24/x
  3. Step 3: Cross multiply
    212.56x = 292.98 × 154.24
  4. Step 4: Simplify right side
    212.56x = 45,189.24
  5. Step 5: Solve for x
    x = 45,189.24/212.56
  6. Step 6: Final answer
    x = 212.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.