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Finding the Fourth Proportional to 216.42, 297.96 and 188.76

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Solution

The fourth proportional to 216.42, 297.96 and 188.76 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 297.96 = 188.76 : x
  2. Step 2: Convert to fraction form
    216.42/297.96 = 188.76/x
  3. Step 3: Cross multiply
    216.42x = 297.96 × 188.76
  4. Step 4: Simplify right side
    216.42x = 56,242.93
  5. Step 5: Solve for x
    x = 56,242.93/216.42
  6. Step 6: Final answer
    x = 259.88

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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.