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Finding the Fourth Proportional to 292.63, 438.85 and 170.77

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Solution

The fourth proportional to 292.63, 438.85 and 170.77 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.63 : 438.85 = 170.77 : x
  2. Step 2: Convert to fraction form
    292.63/438.85 = 170.77/x
  3. Step 3: Cross multiply
    292.63x = 438.85 × 170.77
  4. Step 4: Simplify right side
    292.63x = 74,942.41
  5. Step 5: Solve for x
    x = 74,942.41/292.63
  6. Step 6: Final answer
    x = 256.10

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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.