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Finding the Fourth Proportional to 271.60, 374.78 and 153.58

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Solution

The fourth proportional to 271.60, 374.78 and 153.58 is: 211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 374.78 = 153.58 : x
  2. Step 2: Convert to fraction form
    271.60/374.78 = 153.58/x
  3. Step 3: Cross multiply
    271.60x = 374.78 × 153.58
  4. Step 4: Simplify right side
    271.60x = 57,558.71
  5. Step 5: Solve for x
    x = 57,558.71/271.60
  6. Step 6: Final answer
    x = 211.92

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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.