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Finding the Fourth Proportional to 616.63, 924.94 and 160.63

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Solution

The fourth proportional to 616.63, 924.94 and 160.63 is: 240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.63 : 924.94 = 160.63 : x
  2. Step 2: Convert to fraction form
    616.63/924.94 = 160.63/x
  3. Step 3: Cross multiply
    616.63x = 924.94 × 160.63
  4. Step 4: Simplify right side
    616.63x = 148,568.09
  5. Step 5: Solve for x
    x = 148,568.09/616.63
  6. Step 6: Final answer
    x = 240.94

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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.