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Finding the Fourth Proportional to 202.65, 302.82 and 170.25

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Solution

The fourth proportional to 202.65, 302.82 and 170.25 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 302.82 = 170.25 : x
  2. Step 2: Convert to fraction form
    202.65/302.82 = 170.25/x
  3. Step 3: Cross multiply
    202.65x = 302.82 × 170.25
  4. Step 4: Simplify right side
    202.65x = 51,555.11
  5. Step 5: Solve for x
    x = 51,555.11/202.65
  6. Step 6: Final answer
    x = 254.40

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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.