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Finding the Fourth Proportional to 213.30, 294.57 and 146.94

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Solution

The fourth proportional to 213.30, 294.57 and 146.94 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 294.57 = 146.94 : x
  2. Step 2: Convert to fraction form
    213.30/294.57 = 146.94/x
  3. Step 3: Cross multiply
    213.30x = 294.57 × 146.94
  4. Step 4: Simplify right side
    213.30x = 43,284.12
  5. Step 5: Solve for x
    x = 43,284.12/213.30
  6. Step 6: Final answer
    x = 202.93

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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.