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Finding the Fourth Proportional to 226.16, 312.15 and 152.45

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Solution

The fourth proportional to 226.16, 312.15 and 152.45 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312.15 = 152.45 : x
  2. Step 2: Convert to fraction form
    226.16/312.15 = 152.45/x
  3. Step 3: Cross multiply
    226.16x = 312.15 × 152.45
  4. Step 4: Simplify right side
    226.16x = 47,585.71
  5. Step 5: Solve for x
    x = 47,585.71/226.16
  6. Step 6: Final answer
    x = 210.41

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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.