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Finding the Fourth Proportional to 356.96, 534.57 and 173.76

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Solution

The fourth proportional to 356.96, 534.57 and 173.76 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 534.57 = 173.76 : x
  2. Step 2: Convert to fraction form
    356.96/534.57 = 173.76/x
  3. Step 3: Cross multiply
    356.96x = 534.57 × 173.76
  4. Step 4: Simplify right side
    356.96x = 92,886.88
  5. Step 5: Solve for x
    x = 92,886.88/356.96
  6. Step 6: Final answer
    x = 260.22

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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.