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Finding the Fourth Proportional to 211.58, 316.64 and 146.28

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Solution

The fourth proportional to 211.58, 316.64 and 146.28 is: 218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.58 : 316.64 = 146.28 : x
  2. Step 2: Convert to fraction form
    211.58/316.64 = 146.28/x
  3. Step 3: Cross multiply
    211.58x = 316.64 × 146.28
  4. Step 4: Simplify right side
    211.58x = 46,318.10
  5. Step 5: Solve for x
    x = 46,318.10/211.58
  6. Step 6: Final answer
    x = 218.92

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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.