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Finding the Fourth Proportional to 333.10, 498.84 and 188.92

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Solution

The fourth proportional to 333.10, 498.84 and 188.92 is: 282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 498.84 = 188.92 : x
  2. Step 2: Convert to fraction form
    333.10/498.84 = 188.92/x
  3. Step 3: Cross multiply
    333.10x = 498.84 × 188.92
  4. Step 4: Simplify right side
    333.10x = 94,240.85
  5. Step 5: Solve for x
    x = 94,240.85/333.10
  6. Step 6: Final answer
    x = 282.92

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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.