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Finding the Fourth Proportional to 178.02, 267.20 and 152.60

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Solution

The fourth proportional to 178.02, 267.20 and 152.60 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 267.20 = 152.60 : x
  2. Step 2: Convert to fraction form
    178.02/267.20 = 152.60/x
  3. Step 3: Cross multiply
    178.02x = 267.20 × 152.60
  4. Step 4: Simplify right side
    178.02x = 40,774.72
  5. Step 5: Solve for x
    x = 40,774.72/178.02
  6. Step 6: Final answer
    x = 229.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.