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Finding the Fourth Proportional to 224.10, 308.93 and 157.51

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Solution

The fourth proportional to 224.10, 308.93 and 157.51 is: 217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.10 : 308.93 = 157.51 : x
  2. Step 2: Convert to fraction form
    224.10/308.93 = 157.51/x
  3. Step 3: Cross multiply
    224.10x = 308.93 × 157.51
  4. Step 4: Simplify right side
    224.10x = 48,658.02
  5. Step 5: Solve for x
    x = 48,658.02/224.10
  6. Step 6: Final answer
    x = 217.13

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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.