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Finding the Fourth Proportional to 242.01, 334.11 and 186.64

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Solution

The fourth proportional to 242.01, 334.11 and 186.64 is: 257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.01 : 334.11 = 186.64 : x
  2. Step 2: Convert to fraction form
    242.01/334.11 = 186.64/x
  3. Step 3: Cross multiply
    242.01x = 334.11 × 186.64
  4. Step 4: Simplify right side
    242.01x = 62,358.29
  5. Step 5: Solve for x
    x = 62,358.29/242.01
  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.