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Finding the Fourth Proportional to 272.02, 407.72 and 156.52

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Solution

The fourth proportional to 272.02, 407.72 and 156.52 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 407.72 = 156.52 : x
  2. Step 2: Convert to fraction form
    272.02/407.72 = 156.52/x
  3. Step 3: Cross multiply
    272.02x = 407.72 × 156.52
  4. Step 4: Simplify right side
    272.02x = 63,813.51
  5. Step 5: Solve for x
    x = 63,813.51/272.02
  6. Step 6: Final answer
    x = 234.60

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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.