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Finding the Fourth Proportional to 261.37, 392.19 and 117.07

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Solution

The fourth proportional to 261.37, 392.19 and 117.07 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.37 : 392.19 = 117.07 : x
  2. Step 2: Convert to fraction form
    261.37/392.19 = 117.07/x
  3. Step 3: Cross multiply
    261.37x = 392.19 × 117.07
  4. Step 4: Simplify right side
    261.37x = 45,913.68
  5. Step 5: Solve for x
    x = 45,913.68/261.37
  6. Step 6: Final answer
    x = 175.67

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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.