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Finding the Fourth Proportional to 242.41, 362.86 and 155.45

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Solution

The fourth proportional to 242.41, 362.86 and 155.45 is: 232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.41 : 362.86 = 155.45 : x
  2. Step 2: Convert to fraction form
    242.41/362.86 = 155.45/x
  3. Step 3: Cross multiply
    242.41x = 362.86 × 155.45
  4. Step 4: Simplify right side
    242.41x = 56,406.59
  5. Step 5: Solve for x
    x = 56,406.59/242.41
  6. Step 6: Final answer
    x = 232.69

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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.