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Finding the Fourth Proportional to 178.55, 265.90 and 172.47

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Solution

The fourth proportional to 178.55, 265.90 and 172.47 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.55 : 265.90 = 172.47 : x
  2. Step 2: Convert to fraction form
    178.55/265.90 = 172.47/x
  3. Step 3: Cross multiply
    178.55x = 265.90 × 172.47
  4. Step 4: Simplify right side
    178.55x = 45,859.34
  5. Step 5: Solve for x
    x = 45,859.34/178.55
  6. Step 6: Final answer
    x = 256.85

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Why These Related Problems?

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