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Finding the Fourth Proportional to 222.40, 332.16 and 186.32

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Solution

The fourth proportional to 222.40, 332.16 and 186.32 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 332.16 = 186.32 : x
  2. Step 2: Convert to fraction form
    222.40/332.16 = 186.32/x
  3. Step 3: Cross multiply
    222.40x = 332.16 × 186.32
  4. Step 4: Simplify right side
    222.40x = 61,888.05
  5. Step 5: Solve for x
    x = 61,888.05/222.40
  6. Step 6: Final answer
    x = 278.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.