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Finding the Fourth Proportional to 268.63, 370.73 and 152.21

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Solution

The fourth proportional to 268.63, 370.73 and 152.21 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.63 : 370.73 = 152.21 : x
  2. Step 2: Convert to fraction form
    268.63/370.73 = 152.21/x
  3. Step 3: Cross multiply
    268.63x = 370.73 × 152.21
  4. Step 4: Simplify right side
    268.63x = 56,428.81
  5. Step 5: Solve for x
    x = 56,428.81/268.63
  6. Step 6: Final answer
    x = 210.06

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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.