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Finding the Fourth Proportional to 364.54, 546.89 and 117.76

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Solution

The fourth proportional to 364.54, 546.89 and 117.76 is: 176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.54 : 546.89 = 117.76 : x
  2. Step 2: Convert to fraction form
    364.54/546.89 = 117.76/x
  3. Step 3: Cross multiply
    364.54x = 546.89 × 117.76
  4. Step 4: Simplify right side
    364.54x = 64,400.56
  5. Step 5: Solve for x
    x = 64,400.56/364.54
  6. Step 6: Final answer
    x = 176.66

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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.