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Finding the Fourth Proportional to 334.04, 500.99 and 177.84

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Solution

The fourth proportional to 334.04, 500.99 and 177.84 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.04 : 500.99 = 177.84 : x
  2. Step 2: Convert to fraction form
    334.04/500.99 = 177.84/x
  3. Step 3: Cross multiply
    334.04x = 500.99 × 177.84
  4. Step 4: Simplify right side
    334.04x = 89,095.17
  5. Step 5: Solve for x
    x = 89,095.17/334.04
  6. Step 6: Final answer
    x = 266.72

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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.