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Finding the Fourth Proportional to 202.22, 278.76 and 191.64

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Solution

The fourth proportional to 202.22, 278.76 and 191.64 is: 264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 278.76 = 191.64 : x
  2. Step 2: Convert to fraction form
    202.22/278.76 = 191.64/x
  3. Step 3: Cross multiply
    202.22x = 278.76 × 191.64
  4. Step 4: Simplify right side
    202.22x = 53,421.57
  5. Step 5: Solve for x
    x = 53,421.57/202.22
  6. Step 6: Final answer
    x = 264.18

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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.