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Finding the Fourth Proportional to 216.84, 325.10 and 95.06

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Solution

The fourth proportional to 216.84, 325.10 and 95.06 is: 142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 325.10 = 95.06 : x
  2. Step 2: Convert to fraction form
    216.84/325.10 = 95.06/x
  3. Step 3: Cross multiply
    216.84x = 325.10 × 95.06
  4. Step 4: Simplify right side
    216.84x = 30,904.01
  5. Step 5: Solve for x
    x = 30,904.01/216.84
  6. Step 6: Final answer
    x = 142.52

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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.