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Finding the Fourth Proportional to 188.16, 283.68 and 170.88

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Solution

The fourth proportional to 188.16, 283.68 and 170.88 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 283.68 = 170.88 : x
  2. Step 2: Convert to fraction form
    188.16/283.68 = 170.88/x
  3. Step 3: Cross multiply
    188.16x = 283.68 × 170.88
  4. Step 4: Simplify right side
    188.16x = 48,475.24
  5. Step 5: Solve for x
    x = 48,475.24/188.16
  6. Step 6: Final answer
    x = 257.63

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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.