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Finding the Fourth Proportional to 262.04, 393 and 117.80

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Solution

The fourth proportional to 262.04, 393 and 117.80 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 393 = 117.80 : x
  2. Step 2: Convert to fraction form
    262.04/393 = 117.80/x
  3. Step 3: Cross multiply
    262.04x = 393 × 117.80
  4. Step 4: Simplify right side
    262.04x = 46,295.40
  5. Step 5: Solve for x
    x = 46,295.40/262.04
  6. Step 6: Final answer
    x = 176.67

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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.