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Finding the Fourth Proportional to 216, 298.14 and 146.16

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Solution

The fourth proportional to 216, 298.14 and 146.16 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 298.14 = 146.16 : x
  2. Step 2: Convert to fraction form
    216/298.14 = 146.16/x
  3. Step 3: Cross multiply
    216x = 298.14 × 146.16
  4. Step 4: Simplify right side
    216x = 43,576.14
  5. Step 5: Solve for x
    x = 43,576.14/216
  6. Step 6: Final answer
    x = 201.74

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Why These Related Problems?

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