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Finding the Fourth Proportional to 473.66, 710.14 and 148.84

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Solution

The fourth proportional to 473.66, 710.14 and 148.84 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 710.14 = 148.84 : x
  2. Step 2: Convert to fraction form
    473.66/710.14 = 148.84/x
  3. Step 3: Cross multiply
    473.66x = 710.14 × 148.84
  4. Step 4: Simplify right side
    473.66x = 105,697.24
  5. Step 5: Solve for x
    x = 105,697.24/473.66
  6. Step 6: Final answer
    x = 223.15

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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.