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Finding the Fourth Proportional to 164.80, 245.87 and 146.56

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Solution

The fourth proportional to 164.80, 245.87 and 146.56 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 245.87 = 146.56 : x
  2. Step 2: Convert to fraction form
    164.80/245.87 = 146.56/x
  3. Step 3: Cross multiply
    164.80x = 245.87 × 146.56
  4. Step 4: Simplify right side
    164.80x = 36,034.71
  5. Step 5: Solve for x
    x = 36,034.71/164.80
  6. Step 6: Final answer
    x = 218.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.