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Finding the Fourth Proportional to 270.91, 373.85 and 146.57

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Solution

The fourth proportional to 270.91, 373.85 and 146.57 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.91 : 373.85 = 146.57 : x
  2. Step 2: Convert to fraction form
    270.91/373.85 = 146.57/x
  3. Step 3: Cross multiply
    270.91x = 373.85 × 146.57
  4. Step 4: Simplify right side
    270.91x = 54,795.09
  5. Step 5: Solve for x
    x = 54,795.09/270.91
  6. Step 6: Final answer
    x = 202.26

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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.