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Finding the Fourth Proportional to 172.76, 239.04 and 148.16

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Solution

The fourth proportional to 172.76, 239.04 and 148.16 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 239.04 = 148.16 : x
  2. Step 2: Convert to fraction form
    172.76/239.04 = 148.16/x
  3. Step 3: Cross multiply
    172.76x = 239.04 × 148.16
  4. Step 4: Simplify right side
    172.76x = 35,416.17
  5. Step 5: Solve for x
    x = 35,416.17/172.76
  6. Step 6: Final answer
    x = 205.00

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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.