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Finding the Fourth Proportional to 268.64, 370.80 and 156.64

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Solution

The fourth proportional to 268.64, 370.80 and 156.64 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 370.80 = 156.64 : x
  2. Step 2: Convert to fraction form
    268.64/370.80 = 156.64/x
  3. Step 3: Cross multiply
    268.64x = 370.80 × 156.64
  4. Step 4: Simplify right side
    268.64x = 58,082.11
  5. Step 5: Solve for x
    x = 58,082.11/268.64
  6. Step 6: Final answer
    x = 216.21

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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.