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Finding the Fourth Proportional to 222.42, 306.71 and 152.37

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Solution

The fourth proportional to 222.42, 306.71 and 152.37 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.42 : 306.71 = 152.37 : x
  2. Step 2: Convert to fraction form
    222.42/306.71 = 152.37/x
  3. Step 3: Cross multiply
    222.42x = 306.71 × 152.37
  4. Step 4: Simplify right side
    222.42x = 46,732.64
  5. Step 5: Solve for x
    x = 46,732.64/222.42
  6. Step 6: Final answer
    x = 210.11

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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.