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Finding the Fourth Proportional to 224.60, 336.51 and 121.64

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Solution

The fourth proportional to 224.60, 336.51 and 121.64 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 336.51 = 121.64 : x
  2. Step 2: Convert to fraction form
    224.60/336.51 = 121.64/x
  3. Step 3: Cross multiply
    224.60x = 336.51 × 121.64
  4. Step 4: Simplify right side
    224.60x = 40,931.39
  5. Step 5: Solve for x
    x = 40,931.39/224.60
  6. Step 6: Final answer
    x = 182.25

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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.