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Finding the Fourth Proportional to 268.68, 370.82 and 152.25

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Solution

The fourth proportional to 268.68, 370.82 and 152.25 is: 210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 370.82 = 152.25 : x
  2. Step 2: Convert to fraction form
    268.68/370.82 = 152.25/x
  3. Step 3: Cross multiply
    268.68x = 370.82 × 152.25
  4. Step 4: Simplify right side
    268.68x = 56,456.58
  5. Step 5: Solve for x
    x = 56,456.58/268.68
  6. Step 6: Final answer
    x = 210.13

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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.