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Finding the Fourth Proportional to 176.70, 261.30 and 176.70

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Solution

The fourth proportional to 176.70, 261.30 and 176.70 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 261.30 = 176.70 : x
  2. Step 2: Convert to fraction form
    176.70/261.30 = 176.70/x
  3. Step 3: Cross multiply
    176.70x = 261.30 × 176.70
  4. Step 4: Simplify right side
    176.70x = 46,171.71
  5. Step 5: Solve for x
    x = 46,171.71/176.70
  6. Step 6: Final answer
    x = 261.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.