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Finding the Fourth Proportional to 309.76, 464.46 and 117.16

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Solution

The fourth proportional to 309.76, 464.46 and 117.16 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.46 = 117.16 : x
  2. Step 2: Convert to fraction form
    309.76/464.46 = 117.16/x
  3. Step 3: Cross multiply
    309.76x = 464.46 × 117.16
  4. Step 4: Simplify right side
    309.76x = 54,416.13
  5. Step 5: Solve for x
    x = 54,416.13/309.76
  6. Step 6: Final answer
    x = 175.67

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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.