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Finding the Fourth Proportional to 211.64, 292 and 134

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Solution

The fourth proportional to 211.64, 292 and 134 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 292 = 134 : x
  2. Step 2: Convert to fraction form
    211.64/292 = 134/x
  3. Step 3: Cross multiply
    211.64x = 292 × 134
  4. Step 4: Simplify right side
    211.64x = 39,128
  5. Step 5: Solve for x
    x = 39,128/211.64
  6. Step 6: Final answer
    x = 184.88

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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.