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Finding the Fourth Proportional to 216.08, 324.60 and 152.48

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Solution

The fourth proportional to 216.08, 324.60 and 152.48 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 324.60 = 152.48 : x
  2. Step 2: Convert to fraction form
    216.08/324.60 = 152.48/x
  3. Step 3: Cross multiply
    216.08x = 324.60 × 152.48
  4. Step 4: Simplify right side
    216.08x = 49,495.01
  5. Step 5: Solve for x
    x = 49,495.01/216.08
  6. Step 6: Final answer
    x = 229.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.