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Finding the Fourth Proportional to 261.99, 392.91 and 117.68

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Solution

The fourth proportional to 261.99, 392.91 and 117.68 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 392.91 = 117.68 : x
  2. Step 2: Convert to fraction form
    261.99/392.91 = 117.68/x
  3. Step 3: Cross multiply
    261.99x = 392.91 × 117.68
  4. Step 4: Simplify right side
    261.99x = 46,235.68
  5. Step 5: Solve for x
    x = 46,235.68/261.99
  6. Step 6: Final answer
    x = 176.48

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