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Finding the Fourth Proportional to 255.99, 383.70 and 194.93

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Solution

The fourth proportional to 255.99, 383.70 and 194.93 is: 292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.99 : 383.70 = 194.93 : x
  2. Step 2: Convert to fraction form
    255.99/383.70 = 194.93/x
  3. Step 3: Cross multiply
    255.99x = 383.70 × 194.93
  4. Step 4: Simplify right side
    255.99x = 74,792.72
  5. Step 5: Solve for x
    x = 74,792.72/255.99
  6. Step 6: Final answer
    x = 292.17

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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.