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Finding the Fourth Proportional to 333.04, 498.92 and 188.32

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Solution

The fourth proportional to 333.04, 498.92 and 188.32 is: 282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.04 : 498.92 = 188.32 : x
  2. Step 2: Convert to fraction form
    333.04/498.92 = 188.32/x
  3. Step 3: Cross multiply
    333.04x = 498.92 × 188.32
  4. Step 4: Simplify right side
    333.04x = 93,956.61
  5. Step 5: Solve for x
    x = 93,956.61/333.04
  6. Step 6: Final answer
    x = 282.12

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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.