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Finding the Fourth Proportional to 211.60, 291.88 and 153.28

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Solution

The fourth proportional to 211.60, 291.88 and 153.28 is: 211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 291.88 = 153.28 : x
  2. Step 2: Convert to fraction form
    211.60/291.88 = 153.28/x
  3. Step 3: Cross multiply
    211.60x = 291.88 × 153.28
  4. Step 4: Simplify right side
    211.60x = 44,739.37
  5. Step 5: Solve for x
    x = 44,739.37/211.60
  6. Step 6: Final answer
    x = 211.43

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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.