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Finding the Fourth Proportional to 210.54, 290.53 and 123.20

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Solution

The fourth proportional to 210.54, 290.53 and 123.20 is: 170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 290.53 = 123.20 : x
  2. Step 2: Convert to fraction form
    210.54/290.53 = 123.20/x
  3. Step 3: Cross multiply
    210.54x = 290.53 × 123.20
  4. Step 4: Simplify right side
    210.54x = 35,793.30
  5. Step 5: Solve for x
    x = 35,793.30/210.54
  6. Step 6: Final answer
    x = 170.01

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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.