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Finding the Fourth Proportional to 160.46, 240.70 and 52.24

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Solution

The fourth proportional to 160.46, 240.70 and 52.24 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 240.70 = 52.24 : x
  2. Step 2: Convert to fraction form
    160.46/240.70 = 52.24/x
  3. Step 3: Cross multiply
    160.46x = 240.70 × 52.24
  4. Step 4: Simplify right side
    160.46x = 12,574.17
  5. Step 5: Solve for x
    x = 12,574.17/160.46
  6. Step 6: Final answer
    x = 78.36

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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.