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Finding the Fourth Proportional to 202.70, 302.59 and 171.96

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Solution

The fourth proportional to 202.70, 302.59 and 171.96 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.70 : 302.59 = 171.96 : x
  2. Step 2: Convert to fraction form
    202.70/302.59 = 171.96/x
  3. Step 3: Cross multiply
    202.70x = 302.59 × 171.96
  4. Step 4: Simplify right side
    202.70x = 52,032.94
  5. Step 5: Solve for x
    x = 52,032.94/202.70
  6. Step 6: Final answer
    x = 256.70

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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.