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Finding the Fourth Proportional to 227.60, 340.04 and 176.12

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Solution

The fourth proportional to 227.60, 340.04 and 176.12 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 340.04 = 176.12 : x
  2. Step 2: Convert to fraction form
    227.60/340.04 = 176.12/x
  3. Step 3: Cross multiply
    227.60x = 340.04 × 176.12
  4. Step 4: Simplify right side
    227.60x = 59,887.84
  5. Step 5: Solve for x
    x = 59,887.84/227.60
  6. Step 6: Final answer
    x = 263.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.