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Finding the Fourth Proportional to 270.94, 373.89 and 146.60

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Solution

The fourth proportional to 270.94, 373.89 and 146.60 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.94 : 373.89 = 146.60 : x
  2. Step 2: Convert to fraction form
    270.94/373.89 = 146.60/x
  3. Step 3: Cross multiply
    270.94x = 373.89 × 146.60
  4. Step 4: Simplify right side
    270.94x = 54,811.73
  5. Step 5: Solve for x
    x = 54,811.73/270.94
  6. Step 6: Final answer
    x = 202.30

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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.