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Finding the Fourth Proportional to 210.56, 290.75 and 132.01

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Solution

The fourth proportional to 210.56, 290.75 and 132.01 is: 182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.56 : 290.75 = 132.01 : x
  2. Step 2: Convert to fraction form
    210.56/290.75 = 132.01/x
  3. Step 3: Cross multiply
    210.56x = 290.75 × 132.01
  4. Step 4: Simplify right side
    210.56x = 38,380.76
  5. Step 5: Solve for x
    x = 38,380.76/210.56
  6. Step 6: Final answer
    x = 182.28

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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.