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Finding the Fourth Proportional to 210.22, 290.10 and 135.57

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Solution

The fourth proportional to 210.22, 290.10 and 135.57 is: 187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 290.10 = 135.57 : x
  2. Step 2: Convert to fraction form
    210.22/290.10 = 135.57/x
  3. Step 3: Cross multiply
    210.22x = 290.10 × 135.57
  4. Step 4: Simplify right side
    210.22x = 39,330.45
  5. Step 5: Solve for x
    x = 39,330.45/210.22
  6. Step 6: Final answer
    x = 187.09

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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.