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Finding the Fourth Proportional to 227.07, 313.20 and 148.41

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Solution

The fourth proportional to 227.07, 313.20 and 148.41 is: 204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.07 : 313.20 = 148.41 : x
  2. Step 2: Convert to fraction form
    227.07/313.20 = 148.41/x
  3. Step 3: Cross multiply
    227.07x = 313.20 × 148.41
  4. Step 4: Simplify right side
    227.07x = 46,482.01
  5. Step 5: Solve for x
    x = 46,482.01/227.07
  6. Step 6: Final answer
    x = 204.70

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Why These Related Problems?

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