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Finding the Fourth Proportional to 211.19, 290.84 and 210.57

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Solution

The fourth proportional to 211.19, 290.84 and 210.57 is: 289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 290.84 = 210.57 : x
  2. Step 2: Convert to fraction form
    211.19/290.84 = 210.57/x
  3. Step 3: Cross multiply
    211.19x = 290.84 × 210.57
  4. Step 4: Simplify right side
    211.19x = 61,240.04
  5. Step 5: Solve for x
    x = 61,240.04/211.19
  6. Step 6: Final answer
    x = 289.98

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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.