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Finding the Fourth Proportional to 203.89, 304.76 and 176.77

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Solution

The fourth proportional to 203.89, 304.76 and 176.77 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 304.76 = 176.77 : x
  2. Step 2: Convert to fraction form
    203.89/304.76 = 176.77/x
  3. Step 3: Cross multiply
    203.89x = 304.76 × 176.77
  4. Step 4: Simplify right side
    203.89x = 53,872.43
  5. Step 5: Solve for x
    x = 53,872.43/203.89
  6. Step 6: Final answer
    x = 264.22

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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.