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Finding the Fourth Proportional to 244.86, 368.01 and 116.70

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Solution

The fourth proportional to 244.86, 368.01 and 116.70 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.86 : 368.01 = 116.70 : x
  2. Step 2: Convert to fraction form
    244.86/368.01 = 116.70/x
  3. Step 3: Cross multiply
    244.86x = 368.01 × 116.70
  4. Step 4: Simplify right side
    244.86x = 42,946.77
  5. Step 5: Solve for x
    x = 42,946.77/244.86
  6. Step 6: Final answer
    x = 175.39

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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.