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Finding the Fourth Proportional to 202.55, 278.85 and 174.77

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Solution

The fourth proportional to 202.55, 278.85 and 174.77 is: 240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 278.85 = 174.77 : x
  2. Step 2: Convert to fraction form
    202.55/278.85 = 174.77/x
  3. Step 3: Cross multiply
    202.55x = 278.85 × 174.77
  4. Step 4: Simplify right side
    202.55x = 48,733.22
  5. Step 5: Solve for x
    x = 48,733.22/202.55
  6. Step 6: Final answer
    x = 240.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.