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Finding the Fourth Proportional to 270.87, 373.80 and 146.53

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Solution

The fourth proportional to 270.87, 373.80 and 146.53 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.87 : 373.80 = 146.53 : x
  2. Step 2: Convert to fraction form
    270.87/373.80 = 146.53/x
  3. Step 3: Cross multiply
    270.87x = 373.80 × 146.53
  4. Step 4: Simplify right side
    270.87x = 54,773.10
  5. Step 5: Solve for x
    x = 54,773.10/270.87
  6. Step 6: Final answer
    x = 202.21

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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.