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Finding the Fourth Proportional to 353.64, 530.40 and 137.16

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Solution

The fourth proportional to 353.64, 530.40 and 137.16 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.64 : 530.40 = 137.16 : x
  2. Step 2: Convert to fraction form
    353.64/530.40 = 137.16/x
  3. Step 3: Cross multiply
    353.64x = 530.40 × 137.16
  4. Step 4: Simplify right side
    353.64x = 72,749.66
  5. Step 5: Solve for x
    x = 72,749.66/353.64
  6. Step 6: Final answer
    x = 205.72

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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.