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Finding the Fourth Proportional to 202.05, 278.83 and 123.35

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Solution

The fourth proportional to 202.05, 278.83 and 123.35 is: 170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.05 : 278.83 = 123.35 : x
  2. Step 2: Convert to fraction form
    202.05/278.83 = 123.35/x
  3. Step 3: Cross multiply
    202.05x = 278.83 × 123.35
  4. Step 4: Simplify right side
    202.05x = 34,393.76
  5. Step 5: Solve for x
    x = 34,393.76/202.05
  6. Step 6: Final answer
    x = 170.23

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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.