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Finding the Fourth Proportional to 211.64, 292.08 and 153.44

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Solution

The fourth proportional to 211.64, 292.08 and 153.44 is: 211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.64 : 292.08 = 153.44 : x
  2. Step 2: Convert to fraction form
    211.64/292.08 = 153.44/x
  3. Step 3: Cross multiply
    211.64x = 292.08 × 153.44
  4. Step 4: Simplify right side
    211.64x = 44,816.76
  5. Step 5: Solve for x
    x = 44,816.76/211.64
  6. Step 6: Final answer
    x = 211.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.