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Finding the Fourth Proportional to 210.98, 291.18 and 136.26

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Solution

The fourth proportional to 210.98, 291.18 and 136.26 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.98 : 291.18 = 136.26 : x
  2. Step 2: Convert to fraction form
    210.98/291.18 = 136.26/x
  3. Step 3: Cross multiply
    210.98x = 291.18 × 136.26
  4. Step 4: Simplify right side
    210.98x = 39,676.19
  5. Step 5: Solve for x
    x = 39,676.19/210.98
  6. Step 6: Final answer
    x = 188.06

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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.