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Finding the Fourth Proportional to 170.16, 256.80 and 164.40

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Solution

The fourth proportional to 170.16, 256.80 and 164.40 is: 248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 256.80 = 164.40 : x
  2. Step 2: Convert to fraction form
    170.16/256.80 = 164.40/x
  3. Step 3: Cross multiply
    170.16x = 256.80 × 164.40
  4. Step 4: Simplify right side
    170.16x = 42,217.92
  5. Step 5: Solve for x
    x = 42,217.92/170.16
  6. Step 6: Final answer
    x = 248.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.