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Finding the Fourth Proportional to 242.64, 334.58 and 180.27

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Solution

The fourth proportional to 242.64, 334.58 and 180.27 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 334.58 = 180.27 : x
  2. Step 2: Convert to fraction form
    242.64/334.58 = 180.27/x
  3. Step 3: Cross multiply
    242.64x = 334.58 × 180.27
  4. Step 4: Simplify right side
    242.64x = 60,313.84
  5. Step 5: Solve for x
    x = 60,313.84/242.64
  6. Step 6: Final answer
    x = 248.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.