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Finding the Fourth Proportional to 227.04, 312.90 and 153.14

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Solution

The fourth proportional to 227.04, 312.90 and 153.14 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 312.90 = 153.14 : x
  2. Step 2: Convert to fraction form
    227.04/312.90 = 153.14/x
  3. Step 3: Cross multiply
    227.04x = 312.90 × 153.14
  4. Step 4: Simplify right side
    227.04x = 47,917.51
  5. Step 5: Solve for x
    x = 47,917.51/227.04
  6. Step 6: Final answer
    x = 211.05

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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.