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Finding the Fourth Proportional to 222.24, 306.75 and 155.93

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Solution

The fourth proportional to 222.24, 306.75 and 155.93 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 306.75 = 155.93 : x
  2. Step 2: Convert to fraction form
    222.24/306.75 = 155.93/x
  3. Step 3: Cross multiply
    222.24x = 306.75 × 155.93
  4. Step 4: Simplify right side
    222.24x = 47,830.58
  5. Step 5: Solve for x
    x = 47,830.58/222.24
  6. Step 6: Final answer
    x = 215.22

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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.