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Finding the Fourth Proportional to 188.41, 259.93 and 149.07

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Solution

The fourth proportional to 188.41, 259.93 and 149.07 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.41 : 259.93 = 149.07 : x
  2. Step 2: Convert to fraction form
    188.41/259.93 = 149.07/x
  3. Step 3: Cross multiply
    188.41x = 259.93 × 149.07
  4. Step 4: Simplify right side
    188.41x = 38,748.61
  5. Step 5: Solve for x
    x = 38,748.61/188.41
  6. Step 6: Final answer
    x = 205.66

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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.