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Finding the Fourth Proportional to 175.50, 264.26 and 156.33

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Solution

The fourth proportional to 175.50, 264.26 and 156.33 is: 235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 264.26 = 156.33 : x
  2. Step 2: Convert to fraction form
    175.50/264.26 = 156.33/x
  3. Step 3: Cross multiply
    175.50x = 264.26 × 156.33
  4. Step 4: Simplify right side
    175.50x = 41,312.16
  5. Step 5: Solve for x
    x = 41,312.16/175.50
  6. Step 6: Final answer
    x = 235.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.