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Finding the Fourth Proportional to 334.77, 503.06 and 180.81

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Solution

The fourth proportional to 334.77, 503.06 and 180.81 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.77 : 503.06 = 180.81 : x
  2. Step 2: Convert to fraction form
    334.77/503.06 = 180.81/x
  3. Step 3: Cross multiply
    334.77x = 503.06 × 180.81
  4. Step 4: Simplify right side
    334.77x = 90,957.37
  5. Step 5: Solve for x
    x = 90,957.37/334.77
  6. Step 6: Final answer
    x = 271.70

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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.