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Finding the Fourth Proportional to 201.65, 302.34 and 71.58

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Solution

The fourth proportional to 201.65, 302.34 and 71.58 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 302.34 = 71.58 : x
  2. Step 2: Convert to fraction form
    201.65/302.34 = 71.58/x
  3. Step 3: Cross multiply
    201.65x = 302.34 × 71.58
  4. Step 4: Simplify right side
    201.65x = 21,641.50
  5. Step 5: Solve for x
    x = 21,641.50/201.65
  6. Step 6: Final answer
    x = 107.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.