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Finding the Fourth Proportional to 188.22, 259.99 and 151.52

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Solution

The fourth proportional to 188.22, 259.99 and 151.52 is: 209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 259.99 = 151.52 : x
  2. Step 2: Convert to fraction form
    188.22/259.99 = 151.52/x
  3. Step 3: Cross multiply
    188.22x = 259.99 × 151.52
  4. Step 4: Simplify right side
    188.22x = 39,392.38
  5. Step 5: Solve for x
    x = 39,392.38/188.22
  6. Step 6: Final answer
    x = 209.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.