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Finding the Fourth Proportional to 271.58, 407.54 and 156.25

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Solution

The fourth proportional to 271.58, 407.54 and 156.25 is: 234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 407.54 = 156.25 : x
  2. Step 2: Convert to fraction form
    271.58/407.54 = 156.25/x
  3. Step 3: Cross multiply
    271.58x = 407.54 × 156.25
  4. Step 4: Simplify right side
    271.58x = 63,678.13
  5. Step 5: Solve for x
    x = 63,678.13/271.58
  6. Step 6: Final answer
    x = 234.47

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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.