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Finding the Fourth Proportional to 202.08, 301.60 and 174.72

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Solution

The fourth proportional to 202.08, 301.60 and 174.72 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 301.60 = 174.72 : x
  2. Step 2: Convert to fraction form
    202.08/301.60 = 174.72/x
  3. Step 3: Cross multiply
    202.08x = 301.60 × 174.72
  4. Step 4: Simplify right side
    202.08x = 52,695.55
  5. Step 5: Solve for x
    x = 52,695.55/202.08
  6. Step 6: Final answer
    x = 260.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.