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Finding the Fourth Proportional to 248.94, 373.50 and 146.25

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Solution

The fourth proportional to 248.94, 373.50 and 146.25 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.94 : 373.50 = 146.25 : x
  2. Step 2: Convert to fraction form
    248.94/373.50 = 146.25/x
  3. Step 3: Cross multiply
    248.94x = 373.50 × 146.25
  4. Step 4: Simplify right side
    248.94x = 54,624.38
  5. Step 5: Solve for x
    x = 54,624.38/248.94
  6. Step 6: Final answer
    x = 219.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.