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Finding the Fourth Proportional to 202.58, 302.34 and 171.71

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Solution

The fourth proportional to 202.58, 302.34 and 171.71 is: 256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 302.34 = 171.71 : x
  2. Step 2: Convert to fraction form
    202.58/302.34 = 171.71/x
  3. Step 3: Cross multiply
    202.58x = 302.34 × 171.71
  4. Step 4: Simplify right side
    202.58x = 51,915.17
  5. Step 5: Solve for x
    x = 51,915.17/202.58
  6. Step 6: Final answer
    x = 256.27

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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.