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Finding the Fourth Proportional to 164.64, 245.44 and 146.40

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Solution

The fourth proportional to 164.64, 245.44 and 146.40 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 245.44 = 146.40 : x
  2. Step 2: Convert to fraction form
    164.64/245.44 = 146.40/x
  3. Step 3: Cross multiply
    164.64x = 245.44 × 146.40
  4. Step 4: Simplify right side
    164.64x = 35,932.42
  5. Step 5: Solve for x
    x = 35,932.42/164.64
  6. Step 6: Final answer
    x = 218.25

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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.