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Finding the Fourth Proportional to 222.54, 307.35 and 149.16

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Solution

The fourth proportional to 222.54, 307.35 and 149.16 is: 206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 307.35 = 149.16 : x
  2. Step 2: Convert to fraction form
    222.54/307.35 = 149.16/x
  3. Step 3: Cross multiply
    222.54x = 307.35 × 149.16
  4. Step 4: Simplify right side
    222.54x = 45,844.33
  5. Step 5: Solve for x
    x = 45,844.33/222.54
  6. Step 6: Final answer
    x = 206.00

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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.