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Finding the Fourth Proportional to 435.32, 653.08 and 146.76

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Solution

The fourth proportional to 435.32, 653.08 and 146.76 is: 220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 653.08 = 146.76 : x
  2. Step 2: Convert to fraction form
    435.32/653.08 = 146.76/x
  3. Step 3: Cross multiply
    435.32x = 653.08 × 146.76
  4. Step 4: Simplify right side
    435.32x = 95,846.02
  5. Step 5: Solve for x
    x = 95,846.02/435.32
  6. Step 6: Final answer
    x = 220.17

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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.