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Finding the Fourth Proportional to 228.23, 341.93 and 98.00

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Solution

The fourth proportional to 228.23, 341.93 and 98.00 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.23 : 341.93 = 98.00 : x
  2. Step 2: Convert to fraction form
    228.23/341.93 = 98.00/x
  3. Step 3: Cross multiply
    228.23x = 341.93 × 98.00
  4. Step 4: Simplify right side
    228.23x = 33,507.68
  5. Step 5: Solve for x
    x = 33,507.68/228.23
  6. Step 6: Final answer
    x = 146.81

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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.