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Finding the Fourth Proportional to 211.04, 315.99 and 174.08

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Solution

The fourth proportional to 211.04, 315.99 and 174.08 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 315.99 = 174.08 : x
  2. Step 2: Convert to fraction form
    211.04/315.99 = 174.08/x
  3. Step 3: Cross multiply
    211.04x = 315.99 × 174.08
  4. Step 4: Simplify right side
    211.04x = 55,008.33
  5. Step 5: Solve for x
    x = 55,008.33/211.04
  6. Step 6: Final answer
    x = 260.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.