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Finding the Fourth Proportional to 215.86, 298 and 146.02

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Solution

The fourth proportional to 215.86, 298 and 146.02 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 298 = 146.02 : x
  2. Step 2: Convert to fraction form
    215.86/298 = 146.02/x
  3. Step 3: Cross multiply
    215.86x = 298 × 146.02
  4. Step 4: Simplify right side
    215.86x = 43,513.96
  5. Step 5: Solve for x
    x = 43,513.96/215.86
  6. Step 6: Final answer
    x = 201.58

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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.