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Finding the Fourth Proportional to 210.83, 291.08 and 188.96

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Solution

The fourth proportional to 210.83, 291.08 and 188.96 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.83 : 291.08 = 188.96 : x
  2. Step 2: Convert to fraction form
    210.83/291.08 = 188.96/x
  3. Step 3: Cross multiply
    210.83x = 291.08 × 188.96
  4. Step 4: Simplify right side
    210.83x = 55,002.48
  5. Step 5: Solve for x
    x = 55,002.48/210.83
  6. Step 6: Final answer
    x = 260.89

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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.