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Finding the Fourth Proportional to 224.48, 309.74 and 135.93

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Solution

The fourth proportional to 224.48, 309.74 and 135.93 is: 187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 309.74 = 135.93 : x
  2. Step 2: Convert to fraction form
    224.48/309.74 = 135.93/x
  3. Step 3: Cross multiply
    224.48x = 309.74 × 135.93
  4. Step 4: Simplify right side
    224.48x = 42,102.96
  5. Step 5: Solve for x
    x = 42,102.96/224.48
  6. Step 6: Final answer
    x = 187.56

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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.