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Finding the Fourth Proportional to 585.50, 878.25 and 152.66

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Solution

The fourth proportional to 585.50, 878.25 and 152.66 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 878.25 = 152.66 : x
  2. Step 2: Convert to fraction form
    585.50/878.25 = 152.66/x
  3. Step 3: Cross multiply
    585.50x = 878.25 × 152.66
  4. Step 4: Simplify right side
    585.50x = 134,069.25
  5. Step 5: Solve for x
    x = 134,069.25/585.50
  6. Step 6: Final answer
    x = 228.98

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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.