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Finding the Fourth Proportional to 616, 924 and 160

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Solution

The fourth proportional to 616, 924 and 160 is: 240

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 924 = 160 : x
  2. Step 2: Convert to fraction form
    616/924 = 160/x
  3. Step 3: Cross multiply
    616x = 924 × 160
  4. Step 4: Simplify right side
    616x = 147,840
  5. Step 5: Solve for x
    x = 147,840/616
  6. Step 6: Final answer
    x = 240

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