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Finding the Fourth Proportional to 242.06, 334.06 and 186.71

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Solution

The fourth proportional to 242.06, 334.06 and 186.71 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.06 : 334.06 = 186.71 : x
  2. Step 2: Convert to fraction form
    242.06/334.06 = 186.71/x
  3. Step 3: Cross multiply
    242.06x = 334.06 × 186.71
  4. Step 4: Simplify right side
    242.06x = 62,370.21
  5. Step 5: Solve for x
    x = 62,370.21/242.06
  6. Step 6: Final answer
    x = 257.67

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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.