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Finding the Fourth Proportional to 210.47, 290.35 and 181.31

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Solution

The fourth proportional to 210.47, 290.35 and 181.31 is: 250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.47 : 290.35 = 181.31 : x
  2. Step 2: Convert to fraction form
    210.47/290.35 = 181.31/x
  3. Step 3: Cross multiply
    210.47x = 290.35 × 181.31
  4. Step 4: Simplify right side
    210.47x = 52,644.31
  5. Step 5: Solve for x
    x = 52,644.31/210.47
  6. Step 6: Final answer
    x = 250.12

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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.