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Finding the Fourth Proportional to 292.06, 438.13 and 86.67

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Solution

The fourth proportional to 292.06, 438.13 and 86.67 is: 130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 438.13 = 86.67 : x
  2. Step 2: Convert to fraction form
    292.06/438.13 = 86.67/x
  3. Step 3: Cross multiply
    292.06x = 438.13 × 86.67
  4. Step 4: Simplify right side
    292.06x = 37,973.08
  5. Step 5: Solve for x
    x = 37,973.08/292.06
  6. Step 6: Final answer
    x = 130.02

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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.