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Finding the Fourth Proportional to 222.08, 332.40 and 174.08

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Solution

The fourth proportional to 222.08, 332.40 and 174.08 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 332.40 = 174.08 : x
  2. Step 2: Convert to fraction form
    222.08/332.40 = 174.08/x
  3. Step 3: Cross multiply
    222.08x = 332.40 × 174.08
  4. Step 4: Simplify right side
    222.08x = 57,864.19
  5. Step 5: Solve for x
    x = 57,864.19/222.08
  6. Step 6: Final answer
    x = 260.56

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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.