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Finding the Fourth Proportional to 245.44, 368.16 and 153.86

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Solution

The fourth proportional to 245.44, 368.16 and 153.86 is: 230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 368.16 = 153.86 : x
  2. Step 2: Convert to fraction form
    245.44/368.16 = 153.86/x
  3. Step 3: Cross multiply
    245.44x = 368.16 × 153.86
  4. Step 4: Simplify right side
    245.44x = 56,645.10
  5. Step 5: Solve for x
    x = 56,645.10/245.44
  6. Step 6: Final answer
    x = 230.79

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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.