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Finding the Fourth Proportional to 172.16, 257.76 and 117.68

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Solution

The fourth proportional to 172.16, 257.76 and 117.68 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 257.76 = 117.68 : x
  2. Step 2: Convert to fraction form
    172.16/257.76 = 117.68/x
  3. Step 3: Cross multiply
    172.16x = 257.76 × 117.68
  4. Step 4: Simplify right side
    172.16x = 30,333.20
  5. Step 5: Solve for x
    x = 30,333.20/172.16
  6. Step 6: Final answer
    x = 176.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.