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Finding the Fourth Proportional to 202.00, 278.76 and 113.49

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Solution

The fourth proportional to 202.00, 278.76 and 113.49 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.00 : 278.76 = 113.49 : x
  2. Step 2: Convert to fraction form
    202.00/278.76 = 113.49/x
  3. Step 3: Cross multiply
    202.00x = 278.76 × 113.49
  4. Step 4: Simplify right side
    202.00x = 31,634.51
  5. Step 5: Solve for x
    x = 31,634.51/202.00
  6. Step 6: Final answer
    x = 156.61

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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.