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Finding the Fourth Proportional to 309.16, 463.62 and 114.10

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Solution

The fourth proportional to 309.16, 463.62 and 114.10 is: 171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.16 : 463.62 = 114.10 : x
  2. Step 2: Convert to fraction form
    309.16/463.62 = 114.10/x
  3. Step 3: Cross multiply
    309.16x = 463.62 × 114.10
  4. Step 4: Simplify right side
    309.16x = 52,899.04
  5. Step 5: Solve for x
    x = 52,899.04/309.16
  6. Step 6: Final answer
    x = 171.11

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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.