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Finding the Fourth Proportional to 211.82, 292.14 and 153.02

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Solution

The fourth proportional to 211.82, 292.14 and 153.02 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 292.14 = 153.02 : x
  2. Step 2: Convert to fraction form
    211.82/292.14 = 153.02/x
  3. Step 3: Cross multiply
    211.82x = 292.14 × 153.02
  4. Step 4: Simplify right side
    211.82x = 44,703.99
  5. Step 5: Solve for x
    x = 44,703.99/211.82
  6. Step 6: Final answer
    x = 211.05

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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.