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Finding the Fourth Proportional to 261, 360.21 and 157.50

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Solution

The fourth proportional to 261, 360.21 and 157.50 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 360.21 = 157.50 : x
  2. Step 2: Convert to fraction form
    261/360.21 = 157.50/x
  3. Step 3: Cross multiply
    261x = 360.21 × 157.50
  4. Step 4: Simplify right side
    261x = 56,733.08
  5. Step 5: Solve for x
    x = 56,733.08/261
  6. Step 6: Final answer
    x = 217.37

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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.