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Finding the Fourth Proportional to 212.88, 292.96 and 157.52

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Solution

The fourth proportional to 212.88, 292.96 and 157.52 is: 216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 292.96 = 157.52 : x
  2. Step 2: Convert to fraction form
    212.88/292.96 = 157.52/x
  3. Step 3: Cross multiply
    212.88x = 292.96 × 157.52
  4. Step 4: Simplify right side
    212.88x = 46,147.06
  5. Step 5: Solve for x
    x = 46,147.06/212.88
  6. Step 6: Final answer
    x = 216.77

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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.