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Finding the Fourth Proportional to 546.94, 820.51 and 156.93

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Solution

The fourth proportional to 546.94, 820.51 and 156.93 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 820.51 = 156.93 : x
  2. Step 2: Convert to fraction form
    546.94/820.51 = 156.93/x
  3. Step 3: Cross multiply
    546.94x = 820.51 × 156.93
  4. Step 4: Simplify right side
    546.94x = 128,762.63
  5. Step 5: Solve for x
    x = 128,762.63/546.94
  6. Step 6: Final answer
    x = 235.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.