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Finding the Fourth Proportional to 220.36, 330.47 and 152.32

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Solution

The fourth proportional to 220.36, 330.47 and 152.32 is: 228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.36 : 330.47 = 152.32 : x
  2. Step 2: Convert to fraction form
    220.36/330.47 = 152.32/x
  3. Step 3: Cross multiply
    220.36x = 330.47 × 152.32
  4. Step 4: Simplify right side
    220.36x = 50,337.57
  5. Step 5: Solve for x
    x = 50,337.57/220.36
  6. Step 6: Final answer
    x = 228.43

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