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Finding the Fourth Proportional to 188.46, 282.71 and 65.03

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Solution

The fourth proportional to 188.46, 282.71 and 65.03 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.46 : 282.71 = 65.03 : x
  2. Step 2: Convert to fraction form
    188.46/282.71 = 65.03/x
  3. Step 3: Cross multiply
    188.46x = 282.71 × 65.03
  4. Step 4: Simplify right side
    188.46x = 18,382.89
  5. Step 5: Solve for x
    x = 18,382.89/188.46
  6. Step 6: Final answer
    x = 97.54

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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.