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Finding the Fourth Proportional to 222.48, 332.16 and 153.36

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Solution

The fourth proportional to 222.48, 332.16 and 153.36 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 332.16 = 153.36 : x
  2. Step 2: Convert to fraction form
    222.48/332.16 = 153.36/x
  3. Step 3: Cross multiply
    222.48x = 332.16 × 153.36
  4. Step 4: Simplify right side
    222.48x = 50,940.06
  5. Step 5: Solve for x
    x = 50,940.06/222.48
  6. Step 6: Final answer
    x = 228.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.