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Finding the Fourth Proportional to 336.51, 463.14 and 238.10

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Solution

The fourth proportional to 336.51, 463.14 and 238.10 is: 327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.51 : 463.14 = 238.10 : x
  2. Step 2: Convert to fraction form
    336.51/463.14 = 238.10/x
  3. Step 3: Cross multiply
    336.51x = 463.14 × 238.10
  4. Step 4: Simplify right side
    336.51x = 110,271.32
  5. Step 5: Solve for x
    x = 110,271.32/336.51
  6. Step 6: Final answer
    x = 327.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.