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Finding the Fourth Proportional to 271.93, 374.64 and 223.13

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Solution

The fourth proportional to 271.93, 374.64 and 223.13 is: 307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 374.64 = 223.13 : x
  2. Step 2: Convert to fraction form
    271.93/374.64 = 223.13/x
  3. Step 3: Cross multiply
    271.93x = 374.64 × 223.13
  4. Step 4: Simplify right side
    271.93x = 83,590.71
  5. Step 5: Solve for x
    x = 83,590.71/271.93
  6. Step 6: Final answer
    x = 307.40

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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.