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Finding the Fourth Proportional to 210.83, 291.02 and 123.50

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Solution

The fourth proportional to 210.83, 291.02 and 123.50 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.83 : 291.02 = 123.50 : x
  2. Step 2: Convert to fraction form
    210.83/291.02 = 123.50/x
  3. Step 3: Cross multiply
    210.83x = 291.02 × 123.50
  4. Step 4: Simplify right side
    210.83x = 35,940.97
  5. Step 5: Solve for x
    x = 35,940.97/210.83
  6. Step 6: Final answer
    x = 170.47

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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.