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Finding the Fourth Proportional to 165.99, 229.04 and 152.55

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Solution

The fourth proportional to 165.99, 229.04 and 152.55 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 229.04 = 152.55 : x
  2. Step 2: Convert to fraction form
    165.99/229.04 = 152.55/x
  3. Step 3: Cross multiply
    165.99x = 229.04 × 152.55
  4. Step 4: Simplify right side
    165.99x = 34,940.08
  5. Step 5: Solve for x
    x = 34,940.08/165.99
  6. Step 6: Final answer
    x = 210.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.