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Finding the Fourth Proportional to 176.90, 258.13 and 176.90

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Solution

The fourth proportional to 176.90, 258.13 and 176.90 is: 258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.90 : 258.13 = 176.90 : x
  2. Step 2: Convert to fraction form
    176.90/258.13 = 176.90/x
  3. Step 3: Cross multiply
    176.90x = 258.13 × 176.90
  4. Step 4: Simplify right side
    176.90x = 45,663.20
  5. Step 5: Solve for x
    x = 45,663.20/176.90
  6. Step 6: Final answer
    x = 258.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.