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Finding the Fourth Proportional to 202.68, 302.54 and 171.91

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Solution

The fourth proportional to 202.68, 302.54 and 171.91 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 302.54 = 171.91 : x
  2. Step 2: Convert to fraction form
    202.68/302.54 = 171.91/x
  3. Step 3: Cross multiply
    202.68x = 302.54 × 171.91
  4. Step 4: Simplify right side
    202.68x = 52,009.65
  5. Step 5: Solve for x
    x = 52,009.65/202.68
  6. Step 6: Final answer
    x = 256.61

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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.