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Finding the Fourth Proportional to 176.18, 243 and 172.94

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Solution

The fourth proportional to 176.18, 243 and 172.94 is: 238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.18 : 243 = 172.94 : x
  2. Step 2: Convert to fraction form
    176.18/243 = 172.94/x
  3. Step 3: Cross multiply
    176.18x = 243 × 172.94
  4. Step 4: Simplify right side
    176.18x = 42,023.21
  5. Step 5: Solve for x
    x = 42,023.21/176.18
  6. Step 6: Final answer
    x = 238.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.