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Finding the Fourth Proportional to 309.96, 465.12 and 117.54

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Solution

The fourth proportional to 309.96, 465.12 and 117.54 is: 176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 465.12 = 117.54 : x
  2. Step 2: Convert to fraction form
    309.96/465.12 = 117.54/x
  3. Step 3: Cross multiply
    309.96x = 465.12 × 117.54
  4. Step 4: Simplify right side
    309.96x = 54,670.20
  5. Step 5: Solve for x
    x = 54,670.20/309.96
  6. Step 6: Final answer
    x = 176.38

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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.