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Finding the Fourth Proportional to 152.70, 227.45 and 152.04

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Solution

The fourth proportional to 152.70, 227.45 and 152.04 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.70 : 227.45 = 152.04 : x
  2. Step 2: Convert to fraction form
    152.70/227.45 = 152.04/x
  3. Step 3: Cross multiply
    152.70x = 227.45 × 152.04
  4. Step 4: Simplify right side
    152.70x = 34,580.74
  5. Step 5: Solve for x
    x = 34,580.74/152.70
  6. Step 6: Final answer
    x = 226.46

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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.