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Finding the Fourth Proportional to 211.62, 292.05 and 146.10

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Solution

The fourth proportional to 211.62, 292.05 and 146.10 is: 201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 292.05 = 146.10 : x
  2. Step 2: Convert to fraction form
    211.62/292.05 = 146.10/x
  3. Step 3: Cross multiply
    211.62x = 292.05 × 146.10
  4. Step 4: Simplify right side
    211.62x = 42,668.51
  5. Step 5: Solve for x
    x = 42,668.51/211.62
  6. Step 6: Final answer
    x = 201.63

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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.