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Finding the Fourth Proportional to 546.95, 820.54 and 156.95

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Solution

The fourth proportional to 546.95, 820.54 and 156.95 is: 235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.54 = 156.95 : x
  2. Step 2: Convert to fraction form
    546.95/820.54 = 156.95/x
  3. Step 3: Cross multiply
    546.95x = 820.54 × 156.95
  4. Step 4: Simplify right side
    546.95x = 128,778.87
  5. Step 5: Solve for x
    x = 128,778.87/546.95
  6. Step 6: Final answer
    x = 235.45

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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.