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Finding the Fourth Proportional to 224.25, 309.50 and 146.79

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Solution

The fourth proportional to 224.25, 309.50 and 146.79 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.50 = 146.79 : x
  2. Step 2: Convert to fraction form
    224.25/309.50 = 146.79/x
  3. Step 3: Cross multiply
    224.25x = 309.50 × 146.79
  4. Step 4: Simplify right side
    224.25x = 45,430.77
  5. Step 5: Solve for x
    x = 45,430.77/224.25
  6. Step 6: Final answer
    x = 202.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.