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Finding the Fourth Proportional to 172.05, 256.58 and 146.54

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Solution

The fourth proportional to 172.05, 256.58 and 146.54 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.05 : 256.58 = 146.54 : x
  2. Step 2: Convert to fraction form
    172.05/256.58 = 146.54/x
  3. Step 3: Cross multiply
    172.05x = 256.58 × 146.54
  4. Step 4: Simplify right side
    172.05x = 37,598.32
  5. Step 5: Solve for x
    x = 37,598.32/172.05
  6. Step 6: Final answer
    x = 218.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.