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Finding the Fourth Proportional to 211.30, 316.45 and 146.06

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Solution

The fourth proportional to 211.30, 316.45 and 146.06 is: 218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 316.45 = 146.06 : x
  2. Step 2: Convert to fraction form
    211.30/316.45 = 146.06/x
  3. Step 3: Cross multiply
    211.30x = 316.45 × 146.06
  4. Step 4: Simplify right side
    211.30x = 46,218.74
  5. Step 5: Solve for x
    x = 46,218.74/211.30
  6. Step 6: Final answer
    x = 218.74

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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.