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Finding the Fourth Proportional to 292.64, 438.76 and 155.84

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Solution

The fourth proportional to 292.64, 438.76 and 155.84 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 438.76 = 155.84 : x
  2. Step 2: Convert to fraction form
    292.64/438.76 = 155.84/x
  3. Step 3: Cross multiply
    292.64x = 438.76 × 155.84
  4. Step 4: Simplify right side
    292.64x = 68,376.36
  5. Step 5: Solve for x
    x = 68,376.36/292.64
  6. Step 6: Final answer
    x = 233.65

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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.