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Finding the Fourth Proportional to 188.48, 282.24 and 154.32

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Solution

The fourth proportional to 188.48, 282.24 and 154.32 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 282.24 = 154.32 : x
  2. Step 2: Convert to fraction form
    188.48/282.24 = 154.32/x
  3. Step 3: Cross multiply
    188.48x = 282.24 × 154.32
  4. Step 4: Simplify right side
    188.48x = 43,555.28
  5. Step 5: Solve for x
    x = 43,555.28/188.48
  6. Step 6: Final answer
    x = 231.09

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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.