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Finding the Fourth Proportional to 210.66, 290.79 and 123.36

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Solution

The fourth proportional to 210.66, 290.79 and 123.36 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 290.79 = 123.36 : x
  2. Step 2: Convert to fraction form
    210.66/290.79 = 123.36/x
  3. Step 3: Cross multiply
    210.66x = 290.79 × 123.36
  4. Step 4: Simplify right side
    210.66x = 35,871.85
  5. Step 5: Solve for x
    x = 35,871.85/210.66
  6. Step 6: Final answer
    x = 170.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.