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Finding the Fourth Proportional to 164.48, 225.83 and 152.88

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Solution

The fourth proportional to 164.48, 225.83 and 152.88 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.48 : 225.83 = 152.88 : x
  2. Step 2: Convert to fraction form
    164.48/225.83 = 152.88/x
  3. Step 3: Cross multiply
    164.48x = 225.83 × 152.88
  4. Step 4: Simplify right side
    164.48x = 34,524.89
  5. Step 5: Solve for x
    x = 34,524.89/164.48
  6. Step 6: Final answer
    x = 209.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.