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Finding the Fourth Proportional to 225.94, 312.06 and 177.04

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Solution

The fourth proportional to 225.94, 312.06 and 177.04 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 312.06 = 177.04 : x
  2. Step 2: Convert to fraction form
    225.94/312.06 = 177.04/x
  3. Step 3: Cross multiply
    225.94x = 312.06 × 177.04
  4. Step 4: Simplify right side
    225.94x = 55,247.10
  5. Step 5: Solve for x
    x = 55,247.10/225.94
  6. Step 6: Final answer
    x = 244.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.