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Finding the Fourth Proportional to 164.10, 245.87 and 146.23

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Solution

The fourth proportional to 164.10, 245.87 and 146.23 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.10 : 245.87 = 146.23 : x
  2. Step 2: Convert to fraction form
    164.10/245.87 = 146.23/x
  3. Step 3: Cross multiply
    164.10x = 245.87 × 146.23
  4. Step 4: Simplify right side
    164.10x = 35,952.36
  5. Step 5: Solve for x
    x = 35,952.36/164.10
  6. Step 6: Final answer
    x = 219.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.