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Finding the Fourth Proportional to 222.64, 333.72 and 78.32

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Solution

The fourth proportional to 222.64, 333.72 and 78.32 is: 117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 333.72 = 78.32 : x
  2. Step 2: Convert to fraction form
    222.64/333.72 = 78.32/x
  3. Step 3: Cross multiply
    222.64x = 333.72 × 78.32
  4. Step 4: Simplify right side
    222.64x = 26,136.95
  5. Step 5: Solve for x
    x = 26,136.95/222.64
  6. Step 6: Final answer
    x = 117.40

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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.