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Finding the Fourth Proportional to 242.84, 334.86 and 177.14

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Solution

The fourth proportional to 242.84, 334.86 and 177.14 is: 244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 334.86 = 177.14 : x
  2. Step 2: Convert to fraction form
    242.84/334.86 = 177.14/x
  3. Step 3: Cross multiply
    242.84x = 334.86 × 177.14
  4. Step 4: Simplify right side
    242.84x = 59,317.10
  5. Step 5: Solve for x
    x = 59,317.10/242.84
  6. Step 6: Final answer
    x = 244.26

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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.