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Finding the Fourth Proportional to 188.02, 282.08 and 96.69

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Solution

The fourth proportional to 188.02, 282.08 and 96.69 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.02 : 282.08 = 96.69 : x
  2. Step 2: Convert to fraction form
    188.02/282.08 = 96.69/x
  3. Step 3: Cross multiply
    188.02x = 282.08 × 96.69
  4. Step 4: Simplify right side
    188.02x = 27,275.61
  5. Step 5: Solve for x
    x = 27,275.61/188.02
  6. Step 6: Final answer
    x = 145.07

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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.