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Finding the Fourth Proportional to 459.19, 688.65 and 150.96

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Solution

The fourth proportional to 459.19, 688.65 and 150.96 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 688.65 = 150.96 : x
  2. Step 2: Convert to fraction form
    459.19/688.65 = 150.96/x
  3. Step 3: Cross multiply
    459.19x = 688.65 × 150.96
  4. Step 4: Simplify right side
    459.19x = 103,960.51
  5. Step 5: Solve for x
    x = 103,960.51/459.19
  6. Step 6: Final answer
    x = 226.40

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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.