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Finding the Fourth Proportional to 210.52, 316.18 and 172.09

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Solution

The fourth proportional to 210.52, 316.18 and 172.09 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.52 : 316.18 = 172.09 : x
  2. Step 2: Convert to fraction form
    210.52/316.18 = 172.09/x
  3. Step 3: Cross multiply
    210.52x = 316.18 × 172.09
  4. Step 4: Simplify right side
    210.52x = 54,409.19
  5. Step 5: Solve for x
    x = 54,409.19/210.52
  6. Step 6: Final answer
    x = 258.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.