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Finding the Fourth Proportional to 288.64, 433.32 and 184.76

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Solution

The fourth proportional to 288.64, 433.32 and 184.76 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.64 : 433.32 = 184.76 : x
  2. Step 2: Convert to fraction form
    288.64/433.32 = 184.76/x
  3. Step 3: Cross multiply
    288.64x = 433.32 × 184.76
  4. Step 4: Simplify right side
    288.64x = 80,060.20
  5. Step 5: Solve for x
    x = 80,060.20/288.64
  6. Step 6: Final answer
    x = 277.37

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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.