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Finding the Fourth Proportional to 178.64, 266.80 and 151.64

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Solution

The fourth proportional to 178.64, 266.80 and 151.64 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 266.80 = 151.64 : x
  2. Step 2: Convert to fraction form
    178.64/266.80 = 151.64/x
  3. Step 3: Cross multiply
    178.64x = 266.80 × 151.64
  4. Step 4: Simplify right side
    178.64x = 40,457.55
  5. Step 5: Solve for x
    x = 40,457.55/178.64
  6. Step 6: Final answer
    x = 226.48

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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.