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Finding the Fourth Proportional to 312.52, 468.84 and 117.50

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Solution

The fourth proportional to 312.52, 468.84 and 117.50 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 468.84 = 117.50 : x
  2. Step 2: Convert to fraction form
    312.52/468.84 = 117.50/x
  3. Step 3: Cross multiply
    312.52x = 468.84 × 117.50
  4. Step 4: Simplify right side
    312.52x = 55,088.70
  5. Step 5: Solve for x
    x = 55,088.70/312.52
  6. Step 6: Final answer
    x = 176.27

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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.