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Finding the Fourth Proportional to 211.64, 292.08 and 146.18

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Solution

The fourth proportional to 211.64, 292.08 and 146.18 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 292.08 = 146.18 : x
  2. Step 2: Convert to fraction form
    211.64/292.08 = 146.18/x
  3. Step 3: Cross multiply
    211.64x = 292.08 × 146.18
  4. Step 4: Simplify right side
    211.64x = 42,696.25
  5. Step 5: Solve for x
    x = 42,696.25/211.64
  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.