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Finding the Fourth Proportional to 164.85, 245.89 and 159.72

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Solution

The fourth proportional to 164.85, 245.89 and 159.72 is: 238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 245.89 = 159.72 : x
  2. Step 2: Convert to fraction form
    164.85/245.89 = 159.72/x
  3. Step 3: Cross multiply
    164.85x = 245.89 × 159.72
  4. Step 4: Simplify right side
    164.85x = 39,273.55
  5. Step 5: Solve for x
    x = 39,273.55/164.85
  6. Step 6: Final answer
    x = 238.24

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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.