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Finding the Fourth Proportional to 460.34, 690.42 and 152.14

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Solution

The fourth proportional to 460.34, 690.42 and 152.14 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 690.42 = 152.14 : x
  2. Step 2: Convert to fraction form
    460.34/690.42 = 152.14/x
  3. Step 3: Cross multiply
    460.34x = 690.42 × 152.14
  4. Step 4: Simplify right side
    460.34x = 105,037.05
  5. Step 5: Solve for x
    x = 105,037.05/460.34
  6. Step 6: Final answer
    x = 228.17

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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.