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Finding the Fourth Proportional to 270.94, 373.78 and 188.25

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Solution

The fourth proportional to 270.94, 373.78 and 188.25 is: 259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.94 : 373.78 = 188.25 : x
  2. Step 2: Convert to fraction form
    270.94/373.78 = 188.25/x
  3. Step 3: Cross multiply
    270.94x = 373.78 × 188.25
  4. Step 4: Simplify right side
    270.94x = 70,361.27
  5. Step 5: Solve for x
    x = 70,361.27/270.94
  6. Step 6: Final answer
    x = 259.69

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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.