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Finding the Fourth Proportional to 216.54, 325.02 and 176.45

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Solution

The fourth proportional to 216.54, 325.02 and 176.45 is: 264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.54 : 325.02 = 176.45 : x
  2. Step 2: Convert to fraction form
    216.54/325.02 = 176.45/x
  3. Step 3: Cross multiply
    216.54x = 325.02 × 176.45
  4. Step 4: Simplify right side
    216.54x = 57,348.15
  5. Step 5: Solve for x
    x = 57,348.15/216.54
  6. Step 6: Final answer
    x = 264.84

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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.