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Finding the Fourth Proportional to 460.48, 690.74 and 148.16

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Solution

The fourth proportional to 460.48, 690.74 and 148.16 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 690.74 = 148.16 : x
  2. Step 2: Convert to fraction form
    460.48/690.74 = 148.16/x
  3. Step 3: Cross multiply
    460.48x = 690.74 × 148.16
  4. Step 4: Simplify right side
    460.48x = 102,340.04
  5. Step 5: Solve for x
    x = 102,340.04/460.48
  6. Step 6: Final answer
    x = 222.25

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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.