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Finding the Fourth Proportional to 222.21, 306.50 and 152.33

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Solution

The fourth proportional to 222.21, 306.50 and 152.33 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.21 : 306.50 = 152.33 : x
  2. Step 2: Convert to fraction form
    222.21/306.50 = 152.33/x
  3. Step 3: Cross multiply
    222.21x = 306.50 × 152.33
  4. Step 4: Simplify right side
    222.21x = 46,686.85
  5. Step 5: Solve for x
    x = 46,686.85/222.21
  6. Step 6: Final answer
    x = 210.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.