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Finding the Fourth Proportional to 210.62, 290.54 and 187.58

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Solution

The fourth proportional to 210.62, 290.54 and 187.58 is: 258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.62 : 290.54 = 187.58 : x
  2. Step 2: Convert to fraction form
    210.62/290.54 = 187.58/x
  3. Step 3: Cross multiply
    210.62x = 290.54 × 187.58
  4. Step 4: Simplify right side
    210.62x = 54,499.49
  5. Step 5: Solve for x
    x = 54,499.49/210.62
  6. Step 6: Final answer
    x = 258.76

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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.