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Finding the Fourth Proportional to 164.19, 244.83 and 153.02

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Solution

The fourth proportional to 164.19, 244.83 and 153.02 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 244.83 = 153.02 : x
  2. Step 2: Convert to fraction form
    164.19/244.83 = 153.02/x
  3. Step 3: Cross multiply
    164.19x = 244.83 × 153.02
  4. Step 4: Simplify right side
    164.19x = 37,462.23
  5. Step 5: Solve for x
    x = 37,462.23/164.19
  6. Step 6: Final answer
    x = 228.17

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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.