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Finding the Fourth Proportional to 176.70, 265.05 and 138.30

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Solution

The fourth proportional to 176.70, 265.05 and 138.30 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 265.05 = 138.30 : x
  2. Step 2: Convert to fraction form
    176.70/265.05 = 138.30/x
  3. Step 3: Cross multiply
    176.70x = 265.05 × 138.30
  4. Step 4: Simplify right side
    176.70x = 36,656.42
  5. Step 5: Solve for x
    x = 36,656.42/176.70
  6. Step 6: Final answer
    x = 207.45

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