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Finding the Fourth Proportional to 242.64, 362.48 and 155.27

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Solution

The fourth proportional to 242.64, 362.48 and 155.27 is: 231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 362.48 = 155.27 : x
  2. Step 2: Convert to fraction form
    242.64/362.48 = 155.27/x
  3. Step 3: Cross multiply
    242.64x = 362.48 × 155.27
  4. Step 4: Simplify right side
    242.64x = 56,281.49
  5. Step 5: Solve for x
    x = 56,281.49/242.64
  6. Step 6: Final answer
    x = 231.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.