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Finding the Fourth Proportional to 200.94, 302.46 and 171.20

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Solution

The fourth proportional to 200.94, 302.46 and 171.20 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 302.46 = 171.20 : x
  2. Step 2: Convert to fraction form
    200.94/302.46 = 171.20/x
  3. Step 3: Cross multiply
    200.94x = 302.46 × 171.20
  4. Step 4: Simplify right side
    200.94x = 51,779.64
  5. Step 5: Solve for x
    x = 51,779.64/200.94
  6. Step 6: Final answer
    x = 257.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.