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Finding the Fourth Proportional to 211.45, 292.53 and 185.65

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Solution

The fourth proportional to 211.45, 292.53 and 185.65 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.45 : 292.53 = 185.65 : x
  2. Step 2: Convert to fraction form
    211.45/292.53 = 185.65/x
  3. Step 3: Cross multiply
    211.45x = 292.53 × 185.65
  4. Step 4: Simplify right side
    211.45x = 54,308.19
  5. Step 5: Solve for x
    x = 54,308.19/211.45
  6. Step 6: Final answer
    x = 256.84

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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.