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Finding the Fourth Proportional to 333.06, 498.94 and 188.34

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Solution

The fourth proportional to 333.06, 498.94 and 188.34 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 498.94 = 188.34 : x
  2. Step 2: Convert to fraction form
    333.06/498.94 = 188.34/x
  3. Step 3: Cross multiply
    333.06x = 498.94 × 188.34
  4. Step 4: Simplify right side
    333.06x = 93,970.36
  5. Step 5: Solve for x
    x = 93,970.36/333.06
  6. Step 6: Final answer
    x = 282.14

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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.