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Finding the Fourth Proportional to 211.61, 292.34 and 175.23

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Solution

The fourth proportional to 211.61, 292.34 and 175.23 is: 242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 292.34 = 175.23 : x
  2. Step 2: Convert to fraction form
    211.61/292.34 = 175.23/x
  3. Step 3: Cross multiply
    211.61x = 292.34 × 175.23
  4. Step 4: Simplify right side
    211.61x = 51,227.18
  5. Step 5: Solve for x
    x = 51,227.18/211.61
  6. Step 6: Final answer
    x = 242.08

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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.