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Finding the Fourth Proportional to 334.10, 501.08 and 90.64

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Solution

The fourth proportional to 334.10, 501.08 and 90.64 is: 135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 501.08 = 90.64 : x
  2. Step 2: Convert to fraction form
    334.10/501.08 = 90.64/x
  3. Step 3: Cross multiply
    334.10x = 501.08 × 90.64
  4. Step 4: Simplify right side
    334.10x = 45,416.19
  5. Step 5: Solve for x
    x = 45,416.19/334.10
  6. Step 6: Final answer
    x = 135.94

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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.