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Finding the Fourth Proportional to 248.81, 373.08 and 86.48

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Solution

The fourth proportional to 248.81, 373.08 and 86.48 is: 129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 373.08 = 86.48 : x
  2. Step 2: Convert to fraction form
    248.81/373.08 = 86.48/x
  3. Step 3: Cross multiply
    248.81x = 373.08 × 86.48
  4. Step 4: Simplify right side
    248.81x = 32,263.96
  5. Step 5: Solve for x
    x = 32,263.96/248.81
  6. Step 6: Final answer
    x = 129.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.