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Finding the Fourth Proportional to 222.10, 333.14 and 59.78

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Solution

The fourth proportional to 222.10, 333.14 and 59.78 is: 89.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 333.14 = 59.78 : x
  2. Step 2: Convert to fraction form
    222.10/333.14 = 59.78/x
  3. Step 3: Cross multiply
    222.10x = 333.14 × 59.78
  4. Step 4: Simplify right side
    222.10x = 19,915.11
  5. Step 5: Solve for x
    x = 19,915.11/222.10
  6. Step 6: Final answer
    x = 89.67

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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.