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Finding the Fourth Proportional to 459.04, 688.58 and 146.72

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Solution

The fourth proportional to 459.04, 688.58 and 146.72 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.04 : 688.58 = 146.72 : x
  2. Step 2: Convert to fraction form
    459.04/688.58 = 146.72/x
  3. Step 3: Cross multiply
    459.04x = 688.58 × 146.72
  4. Step 4: Simplify right side
    459.04x = 101,028.46
  5. Step 5: Solve for x
    x = 101,028.46/459.04
  6. Step 6: Final answer
    x = 220.09

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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.