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Finding the Fourth Proportional to 164.94, 246.04 and 152.18

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Solution

The fourth proportional to 164.94, 246.04 and 152.18 is: 227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 246.04 = 152.18 : x
  2. Step 2: Convert to fraction form
    164.94/246.04 = 152.18/x
  3. Step 3: Cross multiply
    164.94x = 246.04 × 152.18
  4. Step 4: Simplify right side
    164.94x = 37,441.68
  5. Step 5: Solve for x
    x = 37,441.68/164.94
  6. Step 6: Final answer
    x = 227.01

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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.